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module BFF where
open import Data.Nat using (ℕ)
open import Data.Fin using (Fin)
open import Level using () renaming (zero to ℓ₀)
import Category.Monad
import Category.Functor
open import Data.Maybe using (Maybe ; just ; nothing ; maybe′)
import Data.Maybe.Categorical
open Category.Monad.RawMonad {Level.zero} Data.Maybe.Categorical.monad using (_>>=_)
open Category.Functor.RawFunctor {Level.zero} Data.Maybe.Categorical.functor using (_<$>_)
open import Data.List using (List ; [] ; _∷_ ; map ; length)
open import Data.Vec using (Vec ; toList ; fromList ; allFin) renaming (lookup to lookupV ; map to mapV ; [] to []V ; _∷_ to _∷V_)
open import Function using (_∘_ ; flip)
open import Relation.Binary using (Setoid ; DecSetoid ; module DecSetoid)
open import FinMap
open import Generic using (sequenceV ; ≡-to-Π)
open import Structures using (Shaped ; module Shaped)
open import Instances using (VecShaped)
import CheckInsert
open import GetTypes using (VecVec-to-PartialVecVec ; PartialVecVec-to-PartialShapeShape)
module PartialShapeBFF (A : DecSetoid ℓ₀ ℓ₀) where
open GetTypes.PartialShapeShape public using (Get ; module Get)
open module A = DecSetoid A using (Carrier) renaming (_≟_ to deq)
open CheckInsert A
assoc : {n m : ℕ} → Vec (Fin n) m → Vec Carrier m → Maybe (FinMapMaybe n Carrier)
assoc []V []V = just empty
assoc (i ∷V is) (b ∷V bs) = (assoc is bs) >>= (checkInsert i b)
enumerate : {S : Set} {C : Set → S → Set} → (ShapeT : Shaped S C) → (s : S) → C (Fin (Shaped.arity ShapeT s)) s
enumerate ShapeT s = fill s (allFin (arity s))
where open Shaped ShapeT
denumerate : {S : Set} {C : Set → S → Set} → (ShapeT : Shaped S C) → {α : Set} {s : S} → (c : C α s) → Fin (Shaped.arity ShapeT s) → α
denumerate ShapeT c = flip lookupV (Shaped.content ShapeT c)
bff : (G : Get) → {i : Get.I G} → (j : Get.I G) → Get.SourceContainer G Carrier (Get.gl₁ G i) → Get.ViewContainer G Carrier (Get.gl₂ G j) → Maybe (Get.SourceContainer G (Maybe Carrier) (Get.gl₁ G j))
bff G {i} j s v = let s′ = enumerate SourceShapeT (gl₁ i)
t′ = get s′
g = fromFunc (denumerate SourceShapeT s)
g′ = delete-many (Shaped.content ViewShapeT t′) g
t = enumerate SourceShapeT (gl₁ j)
h = assoc (Shaped.content ViewShapeT (get t)) (Shaped.content ViewShapeT v)
h′ = (flip union (reshape g′ (Shaped.arity SourceShapeT (gl₁ j)))) <$> h
in ((λ f → fmapS f t) ∘ flip lookupM) <$> h′
where open Get G
sbff : (G : Get) → {i : Get.I G} → (j : Get.I G) → Get.SourceContainer G Carrier (Get.gl₁ G i) → Get.ViewContainer G Carrier (Get.gl₂ G j) → Maybe (Get.SourceContainer G Carrier (Get.gl₁ G j))
sbff G j s v = bff G j s v >>= Shaped.sequence (Get.SourceShapeT 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} _ = PartialShapeBFF.enumerate A VecShaped n
enumeratel : (n : ℕ) → Vec (Fin n) n
enumeratel = PartialShapeBFF.enumerate A VecShaped
denumerate : {n : ℕ} → Vec Carrier n → Fin n → Carrier
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 j s v = PartialShapeBFF.bff A (PartialVecVec-to-PartialShapeShape 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 = PartialShapeBFF.sbff A (PartialVecVec-to-PartialShapeShape G) j s v
module VecBFF (A : DecSetoid ℓ₀ ℓ₀) where
open GetTypes.VecVec public using (Get)
open module A = DecSetoid A using (Carrier) renaming (_≟_ to deq)
open CheckInsert A
open PartialVecBFF A public using (assoc ; enumerate ; denumerate)
bff : (G : Get) → {n : ℕ} → (m : ℕ) → Vec Carrier n → Vec Carrier (Get.getlen G m) → Maybe (Vec (Maybe Carrier) m)
bff G = PartialVecBFF.bff A (VecVec-to-PartialVecVec G)
sbff : (G : Get) → {n : ℕ} → (m : ℕ) → Vec Carrier n → Vec Carrier (Get.getlen G m) → Maybe (Vec Carrier m)
sbff G = PartialVecBFF.sbff A (VecVec-to-PartialVecVec G)
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