quox/lib/Quox/Typing.idr

209 lines
4.9 KiB
Idris

module Quox.Typing
import public Quox.Syntax
import public Quox.Context
import public Quox.Definition
import Data.Nat
import public Data.SortedMap
import Control.Monad.Either
import Control.Monad.Reader
import Control.Monad.State
import Generics.Derive
%hide TT.Name
%hide SOP.from
%hide SOP.to
%default total
%language ElabReflection
%default total
public export
data DContext : Nat -> Type where
DNil : DContext 0
DBind : DContext d -> DContext (S d)
DEq : Dim d -> Dim d -> DContext d -> DContext d
public export
TContext : Type -> Nat -> Nat -> Type
TContext q d = Context (Term q d)
public export
QContext : Type -> Nat -> Type
QContext = Context'
public export
QOutput : Type -> Nat -> Type
QOutput = QContext
public export
record TyContext q d n where
constructor MkTyContext
dctx : DContext d
tctx : TContext q d n
qctx : QContext q n
%name TyContext ctx
namespace TContext
export
pushD : TContext q d n -> TContext q (S d) n
pushD tel = map (/// shift 1) tel
export
zeroed : IsQty q => TyContext q d n -> TyContext q d n
zeroed = {qctx $= map (const zero)}
namespace TyContext
export
extendTyN : Telescope (\n => (Term q d n, q)) from to ->
TyContext q d from -> TyContext q d to
extendTyN ss = {tctx $= (. map fst ss), qctx $= (. map snd ss)}
export
extendTy : Term q d n -> q -> TyContext q d n -> TyContext q d (S n)
extendTy s rho = extendTyN [< (s, rho)]
export
extendDim : TyContext q d n -> TyContext q (S d) n
extendDim = {dctx $= DBind, tctx $= pushD}
export
eqDim : Dim d -> Dim d -> TyContext q d n -> TyContext q d n
eqDim p q = {dctx $= DEq p q}
namespace QOutput
parameters {auto _ : IsQty q}
export
(+) : QOutput q n -> QOutput q n -> QOutput q n
(+) = zipWith (+)
export
(*) : q -> QOutput q n -> QOutput q n
(*) pi = map (pi *)
export
zero : {n : Nat} -> QOutput q n
zero = pure zero
export
zeroFor : TyContext q _ n -> QOutput q n
zeroFor ctx = zero <$ ctx.tctx
public export
CheckResult : Type -> Nat -> Type
CheckResult = QOutput
public export
record InferResult q d n where
constructor InfRes
type : Term q d n
qout : QOutput q n
public export
data EqMode = Equal | Sub
%runElab derive "EqMode" [Generic, Meta, Eq, Ord, DecEq, Show]
public export
data Error q
= ExpectedTYPE (Term q d n)
| ExpectedPi (Term q d n)
| ExpectedSig (Term q d n)
| ExpectedEq (Term q d n)
| BadUniverse Universe Universe
-- first arg of ClashT is the type
| ClashT EqMode (Term q d n) (Term q d n) (Term q d n)
| ClashE EqMode (Elim q d n) (Elim q d n)
| ClashU EqMode Universe Universe
| ClashQ q q
| ClashD (Dim d) (Dim d)
| NotInScope Name
| NotType (Term q d n)
| WrongType (Term q d n) (Term q d n) (Term q d n)
public export
0 HasErr : Type -> (Type -> Type) -> Type
HasErr q = MonadError (Error q)
export %inline
ucmp : EqMode -> Universe -> Universe -> Bool
ucmp Sub = (<=)
ucmp Equal = (==)
parameters {auto _ : HasErr q m}
export %inline
expect : Eq a => (a -> a -> Error q) -> (a -> a -> Bool) -> a -> a -> m ()
expect err cmp x y = unless (x `cmp` y) $ throwError $ err x y
export %inline
expectEqualQ : Eq q => q -> q -> m ()
expectEqualQ = expect ClashQ (==)
export %inline
expectCompatQ : IsQty q => q -> q -> m ()
expectCompatQ = expect ClashQ $ \pi, rh => isYes $ pi `compat` rh
export %inline
expectModeU : EqMode -> Universe -> Universe -> m ()
expectModeU mode = expect (ClashU mode) $ ucmp mode
export %inline
expectEqualD : Dim d -> Dim d -> m ()
expectEqualD = expect ClashD (==)
export
lookupFree' : HasErr q m => Definitions' q g -> Name -> m (Definition' q g)
lookupFree' defs x =
case lookup x defs of
Just d => pure d
Nothing => throwError $ NotInScope x
export
substCasePairRet : Term q d n -> ScopeTerm q d n -> Term q d (2 + n)
substCasePairRet dty retty =
let arg = Pair (BVT 0) (BVT 1) :# (dty // fromNat 2) in
retty.term // (arg ::: shift 2)
parameters {auto _ : HasErr q m} (defs : Definitions' q _)
export covering %inline
expectTYPE : Term q d n -> m Universe
expectTYPE s =
case fst $ whnfD defs s of
TYPE l => pure l
_ => throwError $ ExpectedTYPE s
export covering %inline
expectPi : Term q d n -> m (q, Term q d n, ScopeTerm q d n)
expectPi s =
case fst $ whnfD defs s of
Pi {qty, arg, res, _} => pure (qty, arg, res)
_ => throwError $ ExpectedPi s
export covering %inline
expectSig : Term q d n -> m (Term q d n, ScopeTerm q d n)
expectSig s =
case fst $ whnfD defs s of
Sig {fst, snd, _} => pure (fst, snd)
_ => throwError $ ExpectedSig s
export covering %inline
expectEq : Term q d n -> m (DScopeTerm q d n, Term q d n, Term q d n)
expectEq s =
case fst $ whnfD defs s of
Eq {ty, l, r, _} => pure (ty, l, r)
_ => throwError $ ExpectedEq s