2023-03-13 16:41:57 -04:00
|
|
|
module Quox.Typing.Context
|
|
|
|
|
|
|
|
import Quox.Syntax
|
|
|
|
import Quox.Context
|
|
|
|
|
2023-03-13 22:22:26 -04:00
|
|
|
%default total
|
|
|
|
|
2023-03-13 16:41:57 -04:00
|
|
|
|
|
|
|
public export
|
|
|
|
TContext : Type -> Nat -> Nat -> Type
|
|
|
|
TContext q d = Context (Term q d)
|
|
|
|
|
|
|
|
public export
|
|
|
|
QOutput : Type -> Nat -> Type
|
|
|
|
QOutput = Context'
|
|
|
|
|
2023-03-13 22:22:26 -04:00
|
|
|
public export
|
|
|
|
NContext : Nat -> Type
|
|
|
|
NContext = Context' BaseName
|
|
|
|
|
|
|
|
public export
|
|
|
|
DimAssign : Nat -> Type
|
|
|
|
DimAssign = Context' DimConst
|
|
|
|
|
2023-03-13 16:41:57 -04:00
|
|
|
|
|
|
|
public export
|
|
|
|
record TyContext q d n where
|
|
|
|
constructor MkTyContext
|
2023-03-13 22:22:26 -04:00
|
|
|
dctx : DimEq d
|
|
|
|
dnames : NContext d
|
|
|
|
tctx : TContext q d n
|
|
|
|
tnames : NContext n
|
2023-03-13 16:41:57 -04:00
|
|
|
%name TyContext ctx
|
2023-03-13 22:22:26 -04:00
|
|
|
|
|
|
|
|
|
|
|
public export
|
|
|
|
record EqContext q n where
|
|
|
|
constructor MkEqContext
|
|
|
|
-- (only used for errors; not needed by the actual equality test)
|
|
|
|
dassign : DimAssign dimLen
|
|
|
|
dnames : NContext dimLen
|
|
|
|
tctx : TContext q 0 n
|
|
|
|
tnames : NContext n
|
|
|
|
%name EqContext ctx
|
|
|
|
|
|
|
|
|
|
|
|
namespace TContext
|
|
|
|
export %inline
|
|
|
|
pushD : TContext q d n -> TContext q (S d) n
|
|
|
|
pushD tel = map (// shift 1) tel
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
zeroFor : IsQty q => Context tm n -> QOutput q n
|
|
|
|
zeroFor ctx = zero <$ ctx
|
|
|
|
|
|
|
|
namespace TyContext
|
|
|
|
public export %inline
|
|
|
|
empty : TyContext q 0 0
|
|
|
|
empty = MkTyContext {dctx = new, dnames = [<], tctx = [<], tnames = [<]}
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
extendTyN : Telescope (\n => (BaseName, Term q d n)) from to ->
|
|
|
|
TyContext q d from -> TyContext q d to
|
|
|
|
extendTyN xss ctx =
|
|
|
|
let (xs, ss) = unzip xss in {tctx $= (. ss), tnames $= (. xs)} ctx
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
extendTy : BaseName -> Term q d n -> TyContext q d n -> TyContext q d (S n)
|
|
|
|
extendTy x s = extendTyN [< (x, s)]
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
extendDim : BaseName -> TyContext q d n -> TyContext q (S d) n
|
|
|
|
extendDim x = {dctx $= (:<? Nothing), dnames $= (:< x), tctx $= pushD}
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
eqDim : Dim d -> Dim d -> TyContext q d n -> TyContext q d n
|
|
|
|
eqDim p q = {dctx $= set p q}
|
|
|
|
|
|
|
|
|
|
|
|
namespace QOutput
|
|
|
|
parameters {auto _ : IsQty q}
|
|
|
|
export %inline
|
|
|
|
(+) : QOutput q n -> QOutput q n -> QOutput q n
|
|
|
|
(+) = zipWith (+)
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
(*) : q -> QOutput q n -> QOutput q n
|
|
|
|
(*) pi = map (pi *)
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
zeroFor : TyContext q _ n -> QOutput q n
|
|
|
|
zeroFor ctx = zeroFor ctx.tctx
|
|
|
|
|
|
|
|
|
|
|
|
export
|
|
|
|
makeDAssign : DSubst d 0 -> DimAssign d
|
|
|
|
makeDAssign (Shift SZ) = [<]
|
|
|
|
makeDAssign (K e ::: th) = makeDAssign th :< e
|
|
|
|
|
|
|
|
export
|
|
|
|
makeEqContext : TyContext q d n -> DSubst d 0 -> EqContext q n
|
|
|
|
makeEqContext ctx th = MkEqContext {
|
|
|
|
dassign = makeDAssign th,
|
|
|
|
dnames = ctx.dnames,
|
|
|
|
tctx = map (// th) ctx.tctx,
|
|
|
|
tnames = ctx.tnames
|
|
|
|
}
|
|
|
|
|
|
|
|
namespace EqContext
|
|
|
|
public export %inline
|
|
|
|
empty : EqContext q 0
|
|
|
|
empty = MkEqContext [<] [<] [<] [<]
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
extendTyN : Telescope (\n => (BaseName, Term q 0 n)) from to ->
|
|
|
|
EqContext q from -> EqContext q to
|
|
|
|
extendTyN tel ctx =
|
|
|
|
let (xs, ss) = unzip tel in {tctx $= (. ss), tnames $= (. xs)} ctx
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
extendTy : BaseName -> Term q 0 n -> EqContext q n -> EqContext q (S n)
|
|
|
|
extendTy x s = extendTyN [< (x, s)]
|
|
|
|
|
|
|
|
export %inline
|
|
|
|
extendDim : BaseName -> DimConst -> EqContext q n -> EqContext q n
|
|
|
|
extendDim x e ctx = {dassign $= (:< e), dnames $= (:< x)} ctx
|
|
|
|
|
|
|
|
export
|
|
|
|
toTyContext : (e : EqContext q n) -> (d ** TyContext q d n)
|
|
|
|
toTyContext (MkEqContext {dassign, dnames, tctx, tnames})
|
|
|
|
with (lengthPrf0 dnames)
|
|
|
|
_ | Element d eq =
|
|
|
|
(d ** MkTyContext {
|
|
|
|
dctx = rewrite eq in fromGround dassign,
|
|
|
|
dnames = rewrite eq in dnames,
|
|
|
|
tctx = map (// shift0 d) tctx,
|
|
|
|
tnames
|
|
|
|
})
|