luau/prototyping/Luau/Heap.agda

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module Luau.Heap where
open import Agda.Builtin.Equality using (_≡_)
open import FFI.Data.Maybe using (Maybe; just)
open import FFI.Data.Vector using (Vector; length; snoc; empty)
open import Luau.Addr using (Addr)
open import Luau.Var using (Var)
open import Luau.Syntax using (Block; Expr; Annotated; FunDec; nil; addr; function_is_end)
data HeapValue (a : Annotated) : Set where
function_is_end : FunDec a Block a HeapValue a
Heap : Annotated Set
Heap a = Vector (HeapValue a)
data _≡_⊕_↦_ {a} : Heap a Heap a Addr HeapValue a Set where
defn : {H val}
-----------------------------------
(snoc H val) H (length H) val
_[_] : {a} Heap a Addr Maybe (HeapValue a)
_[_] = FFI.Data.Vector.lookup
: {a} Heap a
= empty
data AllocResult a (H : Heap a) (V : HeapValue a) : Set where
ok : b H (H H b V) AllocResult a H V
alloc : {a} H V AllocResult a H V
alloc H V = ok (length H) (snoc H V) defn
next : {a} Heap a Addr
next = length
allocated : {a} Heap a HeapValue a Heap a
allocated = snoc
-- next-emp : (length ∅ ≡ 0)
next-emp = FFI.Data.Vector.length-empty
-- lookup-next : ∀ V H → (lookup (allocated H V) (next H) ≡ just V)
lookup-next = FFI.Data.Vector.lookup-snoc
-- lookup-next-emp : ∀ V → (lookup (allocated emp V) 0 ≡ just V)
lookup-next-emp = FFI.Data.Vector.lookup-snoc-empty