359 lines
10 KiB
Idris
359 lines
10 KiB
Idris
module Quox.Typing.Context
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import Quox.Syntax
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import Quox.Context
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import Quox.Pretty
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import public Data.Singleton
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import Derive.Prelude
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%default total
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%language ElabReflection
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public export
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QContext : Nat -> Type
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QContext = Context' Qty
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public export
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record LocalVar d n where
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constructor MkLocal
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type : Term d n
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term : Maybe (Term d n) -- if from a `let`
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%runElab deriveIndexed "LocalVar" [Show]
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export
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CanShift (LocalVar d) where
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l // by = {type $= (// by), term $= map (// by)} l
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namespace LocalVar
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subD : DSubst d1 d2 -> LocalVar d1 n -> LocalVar d2 n
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subD th = {type $= (// th), term $= map (// th)}
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weakD : LocalVar d n -> LocalVar (S d) n
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weakD = subD $ shift 1
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public export
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TContext : TermLike
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TContext d = Context (\n => LocalVar d n)
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public export
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QOutput : Nat -> Type
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QOutput = Context' Qty
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public export
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DimAssign : Nat -> Type
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DimAssign = Context' DimConst
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public export
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record TyContext d n where
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constructor MkTyContext
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{auto dimLen : Singleton d}
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{auto termLen : Singleton n}
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dctx : DimEq d
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dnames : BContext d
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tctx : TContext d n
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tnames : BContext n -- only used for printing
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qtys : QContext n -- only used for printing
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%name TyContext ctx
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%runElab deriveIndexed "TyContext" [Show]
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public export
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record EqContext n where
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constructor MkEqContext
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{dimLen : Nat}
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{auto termLen : Singleton n}
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dassign : DimAssign dimLen -- only used for printing
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dnames : BContext dimLen -- only used for printing
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tctx : TContext 0 n
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tnames : BContext n -- only used for printing
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qtys : QContext n -- only used for printing
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%name EqContext ctx
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%runElab deriveIndexed "EqContext" [Show]
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public export
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record WhnfContext d n where
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constructor MkWhnfContext
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{auto dimLen : Singleton d}
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{auto termLen : Singleton n}
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dnames : BContext d
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tnames : BContext n
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tctx : TContext d n
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%name WhnfContext ctx
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%runElab deriveIndexed "WhnfContext" [Show]
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namespace TContext
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export %inline
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zeroFor : Context tm n -> QOutput n
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zeroFor ctx = Zero <$ ctx
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public export
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extendLen : Telescope a n1 n2 -> Singleton n1 -> Singleton n2
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extendLen [<] x = x
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extendLen (tel :< _) x = [|S $ extendLen tel x|]
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public export
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CtxExtension : Nat -> Nat -> Nat -> Type
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CtxExtension d = Telescope ((Qty, BindName,) . Term d)
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public export
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CtxExtension0 : Nat -> Nat -> Nat -> Type
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CtxExtension0 d = Telescope ((BindName,) . Term d)
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public export
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CtxExtensionLet : Nat -> Nat -> Nat -> Type
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CtxExtensionLet d = Telescope ((Qty, BindName,) . LocalVar d)
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public export
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CtxExtensionLet0 : Nat -> Nat -> Nat -> Type
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CtxExtensionLet0 d = Telescope ((BindName,) . LocalVar d)
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namespace TyContext
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public export %inline
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empty : TyContext 0 0
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empty =
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MkTyContext {dctx = new, dnames = [<], tctx = [<], tnames = [<], qtys = [<]}
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public export %inline
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null : TyContext d n -> Bool
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null ctx = null ctx.dnames && null ctx.tnames
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export %inline
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extendTyLetN : CtxExtensionLet d n1 n2 -> TyContext d n1 -> TyContext d n2
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extendTyLetN xss (MkTyContext {termLen, dctx, dnames, tctx, tnames, qtys}) =
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let (qs, xs, ls) = unzip3 xss in
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MkTyContext {
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dctx, dnames,
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termLen = extendLen xss termLen,
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tctx = tctx . ls,
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tnames = tnames . xs,
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qtys = qtys . qs
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}
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export %inline
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extendTyN : CtxExtension d n1 n2 -> TyContext d n1 -> TyContext d n2
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extendTyN = extendTyLetN . map (\(q, x, s) => (q, x, MkLocal s Nothing))
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export %inline
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extendTyLetN0 : CtxExtensionLet0 d n1 n2 -> TyContext d n1 -> TyContext d n2
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extendTyLetN0 xss = extendTyLetN (map (Zero,) xss)
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export %inline
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extendTyN0 : CtxExtension0 d n1 n2 -> TyContext d n1 -> TyContext d n2
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extendTyN0 xss = extendTyN (map (Zero,) xss)
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export %inline
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extendTyLet : Qty -> BindName -> Term d n -> Term d n ->
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TyContext d n -> TyContext d (S n)
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extendTyLet q x s e = extendTyLetN [< (q, x, MkLocal s (Just e))]
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export %inline
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extendTy : Qty -> BindName -> Term d n -> TyContext d n -> TyContext d (S n)
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extendTy q x s = extendTyN [< (q, x, s)]
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export %inline
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extendTy0 : BindName -> Term d n -> TyContext d n -> TyContext d (S n)
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extendTy0 = extendTy Zero
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export %inline
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extendDim : BindName -> TyContext d n -> TyContext (S d) n
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extendDim x (MkTyContext {dimLen, dctx, dnames, tctx, tnames, qtys}) =
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MkTyContext {
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dctx = dctx :<? Nothing,
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dnames = dnames :< x,
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dimLen = [|S dimLen|],
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tctx = map weakD tctx,
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tnames, qtys
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}
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export %inline
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eqDim : Dim d -> Dim d -> TyContext d n -> TyContext d n
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eqDim p q = {dctx $= set p q, dimLen $= id, termLen $= id}
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export
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toWhnfContext : TyContext d n -> WhnfContext d n
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toWhnfContext (MkTyContext {dnames, tnames, tctx, _}) =
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MkWhnfContext {dnames, tnames, tctx}
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namespace QOutput
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export %inline
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(+) : QOutput n -> QOutput n -> QOutput n
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(+) = zipWith (+)
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export %inline
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(*) : Qty -> QOutput n -> QOutput n
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(*) pi = map (pi *)
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export %inline
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zeroFor : TyContext _ n -> QOutput n
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zeroFor ctx = zeroFor ctx.tctx
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export
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makeDAssign : DSubst d 0 -> DimAssign d
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makeDAssign (Shift SZ) = [<]
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makeDAssign (K e _ ::: th) = makeDAssign th :< e
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export
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makeEqContext' : {d : Nat} -> TyContext d n -> DSubst d 0 -> EqContext n
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makeEqContext' ctx th = MkEqContext {
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termLen = ctx.termLen,
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dassign = makeDAssign th,
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dnames = ctx.dnames,
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tctx = map (subD th) ctx.tctx,
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tnames = ctx.tnames,
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qtys = ctx.qtys
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}
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export
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makeEqContext : TyContext d n -> DSubst d 0 -> EqContext n
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makeEqContext ctx@(MkTyContext {dnames, _}) th =
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let Val d = lengthPrf0 dnames in makeEqContext' ctx th
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namespace EqContext
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public export %inline
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empty : EqContext 0
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empty = MkEqContext {
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dassign = [<], dnames = [<], tctx = [<], tnames = [<], qtys = [<]
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}
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public export %inline
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null : EqContext n -> Bool
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null ctx = null ctx.dnames && null ctx.tnames
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export %inline
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extendTyLetN : CtxExtensionLet 0 n1 n2 -> EqContext n1 -> EqContext n2
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extendTyLetN xss (MkEqContext {termLen, dassign, dnames, tctx, tnames, qtys}) =
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let (qs, xs, ls) = unzip3 xss in
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MkEqContext {
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termLen = extendLen xss termLen,
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tctx = tctx . ls,
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tnames = tnames . xs,
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qtys = qtys . qs,
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dassign, dnames
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}
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export %inline
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extendTyN : CtxExtension 0 n1 n2 -> EqContext n1 -> EqContext n2
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extendTyN = extendTyLetN . map (\(q, x, s) => (q, x, MkLocal s Nothing))
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export %inline
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extendTyLetN0 : CtxExtensionLet0 0 n1 n2 -> EqContext n1 -> EqContext n2
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extendTyLetN0 xss = extendTyLetN (map (Zero,) xss)
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export %inline
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extendTyN0 : CtxExtension0 0 n1 n2 -> EqContext n1 -> EqContext n2
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extendTyN0 xss = extendTyN (map (Zero,) xss)
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export %inline
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extendTyLet : Qty -> BindName -> Term 0 n -> Term 0 n ->
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EqContext n -> EqContext (S n)
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extendTyLet q x s e = extendTyLetN [< (q, x, MkLocal s (Just e))]
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export %inline
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extendTy : Qty -> BindName -> Term 0 n -> EqContext n -> EqContext (S n)
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extendTy q x s = extendTyN [< (q, x, s)]
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export %inline
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extendTy0 : BindName -> Term 0 n -> EqContext n -> EqContext (S n)
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extendTy0 = extendTy Zero
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export %inline
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extendDim : BindName -> DimConst -> EqContext n -> EqContext n
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extendDim x e (MkEqContext {dassign, dnames, tctx, tnames, qtys}) =
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MkEqContext {dassign = dassign :< e, dnames = dnames :< x,
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tctx, tnames, qtys}
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export
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toTyContext : (e : EqContext n) -> TyContext e.dimLen n
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toTyContext (MkEqContext {dimLen, dassign, dnames, tctx, tnames, qtys}) =
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MkTyContext {
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dctx = fromGround dnames dassign,
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tctx = map (subD $ shift0 dimLen) tctx,
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dnames, tnames, qtys
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}
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export
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toWhnfContext : (ectx : EqContext n) -> WhnfContext 0 n
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toWhnfContext (MkEqContext {tnames, tctx, _}) =
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MkWhnfContext {dnames = [<], tnames, tctx}
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export
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injElim : WhnfContext d n -> Elim 0 0 -> Elim d n
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injElim ctx e =
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let Val d = ctx.dimLen; Val n = ctx.termLen in
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e // shift0 d // shift0 n
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namespace WhnfContext
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public export %inline
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empty : WhnfContext 0 0
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empty = MkWhnfContext [<] [<] [<]
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export
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extendDimN : {s : Nat} -> BContext s -> WhnfContext d n ->
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WhnfContext (s + d) n
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extendDimN ns (MkWhnfContext {dnames, tnames, tctx, dimLen}) =
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MkWhnfContext {
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dimLen = [|Val s + dimLen|],
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dnames = dnames ++ toSnocVect' ns,
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tctx = map (subD $ shift s) tctx,
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tnames
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}
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export
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extendDim : BindName -> WhnfContext d n -> WhnfContext (S d) n
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extendDim i = extendDimN [< i]
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private
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prettyTContextElt : {opts : _} ->
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BContext d -> BContext n ->
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Qty -> BindName -> LocalVar d n -> Eff Pretty (Doc opts)
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prettyTContextElt dnames tnames q x s = do
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q <- prettyQty q; dot <- dotD
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x <- prettyTBind x; colon <- colonD
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ty <- withPrec Outer $ prettyTerm dnames tnames s.type; eq <- cstD
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tm <- traverse (withPrec Outer . prettyTerm dnames tnames) s.term
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d <- askAt INDENT
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let qx = hcat [q, dot, x]
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pure $ case tm of
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Nothing =>
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ifMultiline (hsep [qx, colon, ty]) (vsep [qx, indent d $ colon <++> ty])
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Just tm =>
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ifMultiline (hsep [qx, colon, ty, eq, tm])
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(vsep [qx, indent d $ colon <++> ty, indent d $ eq <++> tm])
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private
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prettyTContext' : {opts : _} ->
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BContext d -> QContext n -> BContext n ->
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TContext d n -> Eff Pretty (SnocList (Doc opts))
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prettyTContext' _ [<] [<] [<] = pure [<]
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prettyTContext' dnames (qtys :< q) (tnames :< x) (tys :< t) =
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[|prettyTContext' dnames qtys tnames tys :<
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prettyTContextElt dnames tnames q x t|]
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export
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prettyTContext : {opts : _} ->
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BContext d -> QContext n -> BContext n ->
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TContext d n -> Eff Pretty (Doc opts)
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prettyTContext dnames qtys tnames tys = do
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comma <- commaD
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sepSingle . exceptLast (<+> comma) . toList <$>
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prettyTContext' dnames qtys tnames tys
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export
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prettyTyContext : {opts : _} -> TyContext d n -> Eff Pretty (Doc opts)
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prettyTyContext (MkTyContext dctx dnames tctx tnames qtys) =
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case dctx of
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C [<] => prettyTContext dnames qtys tnames tctx
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_ => pure $
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sepSingle [!(prettyDimEq dnames dctx) <++> !pipeD,
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!(prettyTContext dnames qtys tnames tctx)]
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export
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prettyEqContext : {opts : _} -> EqContext n -> Eff Pretty (Doc opts)
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prettyEqContext ctx = prettyTyContext $ toTyContext ctx
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