quox/lib/Quox/Thin/Comp.idr

60 lines
2.0 KiB
Idris

module Quox.Thin.Comp
import public Quox.Thin.Base
import public Quox.Thin.View
import Data.Singleton
%default total
||| inductive definition of OPE composition
public export
data Comp : (l : OPE n p mask1) -> (r : OPE m n mask2) ->
(res : OPE m p mask3) -> Type where
[search l r]
StopZ : Comp Stop Stop Stop
DropZ : Comp a b c -> Comp (Drop a Refl) b (Drop c Refl)
KeepZ : Comp a b c -> Comp (Keep a Refl) (Keep b Refl) (Keep c Refl)
KDZ : Comp a b c -> Comp (Keep a Refl) (Drop b Refl) (Drop c Refl)
public export
record CompResult (ope1 : OPE n p mask1) (ope2 : OPE m n mask2) where
constructor MkComp
{mask : Nat}
{0 ope : OPE m p mask}
0 comp : Comp ope1 ope2 ope
%name CompResult comp
||| compose two OPEs, if the middle scope size is already known at runtime
export
comp' : {n, p, mask1, mask2 : Nat} ->
(0 ope1 : OPE n p mask1) -> (0 ope2 : OPE m n mask2) ->
CompResult ope1 ope2
comp' ope1 ope2 with %syntactic (view ope1) | (view ope2)
comp' Stop Stop | StopV | StopV =
MkComp StopZ
comp' (Drop ope1 Refl) ope2 | DropV _ ope1 | _ =
MkComp $ DropZ (comp' ope1 ope2).comp
comp' (Keep ope1 Refl) (Drop ope2 Refl) | KeepV _ ope1 | DropV _ ope2 =
MkComp $ KDZ (comp' ope1 ope2).comp
comp' (Keep ope1 Refl) (Keep ope2 Refl) | KeepV _ ope1 | KeepV _ ope2 =
MkComp $ KeepZ (comp' ope1 ope2).comp
||| compose two OPEs, after recomputing the middle scope size using `appOpe`
export
comp : {p, mask1, mask2 : Nat} ->
(0 ope1 : OPE n p mask1) -> (0 ope2 : OPE m n mask2) ->
CompResult ope1 ope2
comp ope1 ope2 = let Val n = appOpe p ope1 in comp' ope1 ope2
-- [todo] is there a quick way to compute the mask of comp?
export
0 (.) : (ope1 : OPE n p mask1) -> (ope2 : OPE m n mask2) ->
OPE m p (comp ope1 ope2).mask
ope1 . ope2 = (comp ope1 ope2).ope
-- export
-- 0 compMask : (ope1 : OPE n p mask1) -> (ope2 : OPE m n mask2) ->
-- (ope3 : OPE m p mask3) -> Comp ope1 ope2 ope3 ->
-- mask3 = ?aaa