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module GetTypes where
open import Level using () renaming (zero to ℓ₀)
open import Data.Nat using (ℕ)
open import Data.List using (List ; map)
open import Data.Vec using (Vec) renaming (map to mapV)
open import Function using (_∘_ ; id)
open import Relation.Binary.PropositionalEquality using (_≗_)
open import Structures using (Shaped ; module Shaped)
open import Instances using (VecShaped)
module ListList where
record Get : Set₁ where
field
get : {A : Set} → List A → List A
free-theorem : {α β : Set} → (f : α → β) → get ∘ map f ≗ map f ∘ get
module VecVec where
record Get : Set₁ where
field
getlen : ℕ → ℕ
get : {A : Set} {n : ℕ} → Vec A n → Vec A (getlen n)
free-theorem : {α β : Set} (f : α → β) {n : ℕ} → get {_} {n} ∘ mapV f ≗ mapV f ∘ get
module PartialVecVec where
record Get : Set₁ where
field
I : Set
gl₁ : I → ℕ
gl₂ : I → ℕ
get : {A : Set} {i : I} → Vec A (gl₁ i) → Vec A (gl₂ i)
free-theorem : {α β : Set} → (f : α → β) → {i : I} → get {_} {i} ∘ mapV f ≗ mapV f ∘ get
VecVec-to-PartialVecVec : VecVec.Get → PartialVecVec.Get
VecVec-to-PartialVecVec G = record
{ I = ℕ
; gl₁ = id
; gl₂ = getlen
; get = get
; free-theorem = free-theorem
} where open VecVec.Get G
module PartialShapeShape where
record Get : Set₁ where
field
SourceShape : Set
SourceContainer : Set → SourceShape → Set
SourceShapeT : Shaped SourceShape SourceContainer
ViewShape : Set
ViewContainer : Set → ViewShape → Set
ViewShapeT : Shaped ViewShape ViewContainer
I : Set
gl₁ : I → SourceShape
gl₂ : I → ViewShape
open Shaped SourceShapeT using () renaming (fmap to fmapS)
open Shaped ViewShapeT using () renaming (fmap to fmapV)
field
get : {A : Set} {i : I} → SourceContainer A (gl₁ i) → ViewContainer A (gl₂ i)
free-theorem : {α β : Set} → (f : α → β) → {i : I} → get {_} {i} ∘ fmapS f ≗ fmapV f ∘ get
open Shaped SourceShapeT public using () renaming (fmap to fmapS)
open Shaped ViewShapeT public using () renaming (fmap to fmapV)
PartialVecVec-to-PartialShapeShape : PartialVecVec.Get → PartialShapeShape.Get
PartialVecVec-to-PartialShapeShape G = record
{ SourceShapeT = VecShaped
; ViewShapeT = VecShaped
; I = I
; gl₁ = gl₁
; gl₂ = gl₂
; get = get
; free-theorem = free-theorem
} where open PartialVecVec.Get G
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