quox/lib/Quox/Syntax/Term/Split.idr

251 lines
6.1 KiB
Idris

module Quox.Syntax.Term.Split
import Quox.Syntax.Term.Base
import Quox.Syntax.Term.Subst
import Quox.Syntax.Term.Tighten
import Quox.Context
import public Quox.No
import public Data.Vect
%default total
public export %inline
isLam : Term {} -> Bool
isLam (Lam {}) = True
isLam _ = False
public export
0 NotLam : Pred $ Term {}
NotLam = No . isLam
public export %inline
isDLam : Term {} -> Bool
isDLam (DLam {}) = True
isDLam _ = False
public export
0 NotDLam : Pred $ Term {}
NotDLam = No . isDLam
public export %inline
isPair : Term {} -> Bool
isPair (Pair {}) = True
isPair _ = False
public export
0 NotPair : Pred $ Term {}
NotPair = No . isPair
public export %inline
isApp : Elim {} -> Bool
isApp (App {}) = True
isApp _ = False
public export
0 NotApp : Pred $ Elim {}
NotApp = No . isApp
public export %inline
isDApp : Elim {} -> Bool
isDApp (DApp {}) = True
isDApp _ = False
public export
0 NotDApp : Pred $ Elim {}
NotDApp = No . isDApp
-- infixl 9 :@@
-- ||| apply multiple arguments at once
-- public export %inline
-- (:@@) : Elim d n -> List (Term d n) -> Elim d n
-- f :@@ ss = foldl app f ss where
-- app : Elim d n -> Term d n -> Elim d n
-- app f s = App f s (f.loc `extend'` s.loc.bounds)
public export
record GetArgs d n where
constructor GotArgs
fun : Elim d n
args : List (Term d n)
0 notApp : NotApp fun
mutual
export %inline
getArgs' : Elim d n -> List (Term d n) -> GetArgs d n
getArgs' fun0 args =
let Element fun nc = pushSubsts fun0 in
getArgsNc (assert_smaller fun0 fun) args
private
getArgsNc : (e : Elim d n) -> (0 nc : NotClo e) =>
List (Term d n) -> GetArgs d n
getArgsNc fun args = case nchoose $ isApp fun of
Left y => let App f a _ = fun in getArgs' f (a :: args)
Right n => GotArgs {fun, args, notApp = n}
||| splits an application into its head and arguments. if it's not an
||| application then the list is just empty.
||| looks through substitutions for applications.
export %inline
getArgs : Elim d n -> GetArgs d n
getArgs e = getArgs' e []
-- infixl 9 :%%
-- ||| apply multiple dimension arguments at once
-- public export %inline
-- (:%%) : Elim d n -> List (Dim d) -> Elim d n
-- f :%% ss = foldl dapp f ss where
-- dapp : Elim d n -> Dim d -> Elim d n
-- dapp f p = DApp f p (f.loc `extend'` p.loc.bounds)
public export
record GetDArgs d n where
constructor GotDArgs
fun : Elim d n
args : List (Dim d)
0 notDApp : NotDApp fun
mutual
export %inline
getDArgs' : Elim d n -> List (Dim d) -> GetDArgs d n
getDArgs' fun0 args =
let Element fun nc = pushSubsts fun0 in
getDArgsNc (assert_smaller fun0 fun) args
private
getDArgsNc : (e : Elim d n) -> (0 nc : NotClo e) =>
List (Dim d) -> GetDArgs d n
getDArgsNc fun args = case nchoose $ isDApp fun of
Left y => let DApp f d _ = fun in getDArgs' f (d :: args)
Right n => GotDArgs {fun, args, notDApp = n}
||| splits a dimension application into its head and arguments. if it's not an
||| d application then the list is just empty
export %inline
getDArgs : Elim d n -> GetDArgs d n
getDArgs e = getDArgs' e []
-- infixr 1 :\\
-- public export
-- absN : BContext m -> Term d (m + n) -> Term d n
-- absN [<] s = s
-- absN (xs :< x) s = absN xs $ Lam (ST [< x] s) ?absloc
-- public export %inline
-- (:\\) : BContext m -> Term d (m + n) -> Term d n
-- (:\\) = absN
-- infixr 1 :\\%
-- public export
-- dabsN : BContext m -> Term (m + d) n -> Term d n
-- dabsN [<] s = s
-- dabsN (xs :< x) s = dabsN xs $ DLam (DST [< x] s) ?dabsLoc
-- public export %inline
-- (:\\%) : BContext m -> Term (m + d) n -> Term d n
-- (:\\%) = dabsN
public export
record GetLams d n where
constructor GotLams
{0 lams, rest : Nat}
names : BContext lams
body : Term d rest
0 eq : lams + n = rest
0 notLam : NotLam body
mutual
export %inline
getLams' : forall lams, rest.
BContext lams -> Term d rest -> (0 eq : lams + n = rest) ->
GetLams d n
getLams' xs s0 eq =
let Element s nc = pushSubsts s0 in
getLamsNc xs (assert_smaller s0 s) eq
private
getLamsNc : forall lams, rest.
BContext lams ->
(t : Term d rest) -> (0 nc : NotClo t) =>
(0 eq : lams + n = rest) ->
GetLams d n
getLamsNc xs s Refl = case nchoose $ isLam s of
Left y => let Lam (S [< x] body) _ = s in
getLams' (xs :< x) (assert_smaller s body.term) Refl
Right n => GotLams xs s Refl n
export %inline
getLams : Term d n -> GetLams d n
getLams s = getLams' [<] s Refl
public export
record GetDLams d n where
constructor GotDLams
{0 lams, rest : Nat}
names : BContext lams
body : Term rest n
0 eq : lams + d = rest
0 notDLam : NotDLam body
mutual
export %inline
getDLams' : forall lams, rest.
BContext lams -> Term rest n -> (0 eq : lams + d = rest) ->
GetDLams d n
getDLams' xs s0 eq =
let Element s nc = pushSubsts s0 in
getDLamsNc xs (assert_smaller s0 s) eq
private
getDLamsNc : forall lams, rest.
BContext lams ->
(t : Term rest n) -> (0 nc : NotClo t) =>
(0 eq : lams + d = rest) ->
GetDLams d n
getDLamsNc is s Refl = case nchoose $ isDLam s of
Left y => let DLam (S [< i] body) _ = s in
getDLams' (is :< i) (assert_smaller s body.term) Refl
Right n => GotDLams is s Refl n
export %inline
getDLams : Term d n -> GetDLams d n
getDLams s = getDLams' [<] s Refl
public export
record GetPairs d n where
constructor GotPairs
init : SnocList $ Term d n
last : Term d n
notPair : NotPair last
mutual
export %inline
getPairs' : SnocList (Term d n) -> Term d n -> GetPairs d n
getPairs' ss t0 =
let Element t nc = pushSubsts t0 in getPairsNc ss (assert_smaller t0 t)
private
getPairsNc : SnocList (Term d n) ->
(t : Term d n) -> (0 nc : NotClo t) =>
GetPairs d n
getPairsNc ss t = case nchoose $ isPair t of
Left y => let Pair s t _ = t in
getPairs' (ss :< s) t
Right n => GotPairs ss t n
export
getPairs : Term d n -> GetPairs d n
getPairs = getPairs' [<]