diff options
Diffstat (limited to 'BFF.agda')
| -rw-r--r-- | BFF.agda | 53 |
1 files changed, 38 insertions, 15 deletions
@@ -15,11 +15,13 @@ open import Relation.Binary using (Setoid ; DecSetoid ; module DecSetoid) open import FinMap open import Generic using (sequenceV ; ≡-to-Π) +open import Structures using (Shaped ; module Shaped) +open import Instances using (VecShaped) import CheckInsert -open import GetTypes using (VecVec-to-PartialVecVec) +open import GetTypes using (VecVec-to-PartialVecVec ; PartialVecVec-to-PartialShapeVec) -module PartialVecBFF (A : DecSetoid ℓ₀ ℓ₀) where - open GetTypes.PartialVecVec public using (Get) +module PartialShapeBFF (A : DecSetoid ℓ₀ ℓ₀) where + open GetTypes.PartialShapeVec public using (Get ; module Get) open module A = DecSetoid A using (Carrier) renaming (_≟_ to deq) open CheckInsert A @@ -27,27 +29,48 @@ module PartialVecBFF (A : DecSetoid ℓ₀ ℓ₀) where assoc []V []V = just empty assoc (i ∷V is) (b ∷V bs) = (assoc is bs) >>= (checkInsert i b) + enumerate : {S : Set} {C : Set → S → Set} → (ShapeT : Shaped S C) → (s : S) → C (Fin (Shaped.arity ShapeT s)) s + enumerate ShapeT s = fill s (allFin (arity s)) + where open Shaped ShapeT + + denumerate : {S : Set} {C : Set → S → Set} → (ShapeT : Shaped S C) → {α : Set} {s : S} → (c : C α s) → Fin (Shaped.arity ShapeT s) → α + denumerate ShapeT c = flip lookupV (Shaped.content ShapeT c) + + bff : (G : Get) → {i : Get.|I| G} → (j : Get.|I| G) → Get.Container G Carrier (Get.|gl₁| G i) → Vec Carrier (Get.|gl₂| G j) → Maybe (Get.Container G (Maybe Carrier) (Get.|gl₁| G j)) + bff G {i} j s v = let s′ = enumerate ShapeT (|gl₁| i) + t′ = get s′ + g = fromFunc (denumerate ShapeT s) + g′ = delete-many t′ g + t = enumerate ShapeT (|gl₁| j) + h = assoc (get t) v + h′ = (flip union (reshape g′ (arity (|gl₁| j)))) <$> h + in ((λ f → fmap f t) ∘ flip lookupM) <$> h′ + where open Get G + + sbff : (G : Get) → {i : Get.|I| G} → (j : Get.|I| G) → Get.Container G Carrier (Get.|gl₁| G i) → Vec Carrier (Get.|gl₂| G j) → Maybe (Get.Container G Carrier (Get.|gl₁| G j)) + sbff G j s v = bff G j s v >>= Get.sequence G + +module PartialVecBFF (A : DecSetoid ℓ₀ ℓ₀) where + open GetTypes.PartialVecVec public using (Get) + open module A = DecSetoid A using (Carrier) renaming (_≟_ to deq) + open CheckInsert A + + open PartialShapeBFF A public using (assoc) + enumerate : {n : ℕ} → Vec Carrier n → Vec (Fin n) n - enumerate {n} _ = allFin n + enumerate {n} _ = PartialShapeBFF.enumerate A VecShaped n enumeratel : (n : ℕ) → Vec (Fin n) n - enumeratel = allFin + enumeratel = PartialShapeBFF.enumerate A VecShaped denumerate : {n : ℕ} → Vec Carrier n → Fin n → Carrier - denumerate = flip lookupV + denumerate = PartialShapeBFF.denumerate A VecShaped bff : (G : Get) → {i : Get.|I| G} → (j : Get.|I| G) → Vec Carrier (Get.|gl₁| G i) → Vec Carrier (Get.|gl₂| G j) → Maybe (Vec (Maybe Carrier) (Get.|gl₁| G j)) - bff G i s v = let s′ = enumerate s - t′ = Get.get G s′ - g = fromFunc (denumerate s) - g′ = delete-many t′ g - t = enumeratel (Get.|gl₁| G i) - h = assoc (Get.get G t) v - h′ = (flip union (reshape g′ (Get.|gl₁| G i))) <$> h - in (flip mapV t ∘ flip lookupM) <$> h′ + bff G j s v = PartialShapeBFF.bff A (PartialVecVec-to-PartialShapeVec G) j s v sbff : (G : Get) → {i : Get.|I| G} → (j : Get.|I| G) → Vec Carrier (Get.|gl₁| G i) → Vec Carrier (Get.|gl₂| G j) → Maybe (Vec Carrier (Get.|gl₁| G j)) - sbff G j s v = bff G j s v >>= sequenceV + sbff G j s v = PartialShapeBFF.sbff A (PartialVecVec-to-PartialShapeVec G) j s v module VecBFF (A : DecSetoid ℓ₀ ℓ₀) where open GetTypes.VecVec public using (Get) |