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{-# OPTIONS --without-K --safe #-}
------------------------------------------------------------------------
-- 3.4 Modules
module Wasm.Validation.Modules where
open import Data.List using (List; []; _∷_; _++_; map; mapMaybe; allFin; replicate)
open import Data.List.Relation.Unary.All using (All)
open import Data.List.Relation.Unary.AllPairs using (AllPairs)
open import Data.List.Relation.Binary.Pointwise using (Pointwise)
open import Data.Maybe using (just; nothing; maybe)
open import Data.Nat using (_≤_; z≤n; s≤s; _^_)
open import Data.Product using (_×_; ∃; _,_; proj₁; proj₂)
open import Data.Sum using (inj₁)
open import Data.Unit using (⊤)
open import Data.Vec using ([]; _∷_)
open import Data.Vec.Bounded using (Vec≤; _,_; toList)
open import Relation.Binary.PropositionalEquality using (_≡_; _≢_)
open import Wasm.Constants
open import Wasm.Expression.Modules
open import Wasm.Expression.Types
open import Wasm.Expression.Utilities using (module Indices)
open import Wasm.Expression.Values using (toString)
open import Wasm.Validation.Context
open import Wasm.Validation.Instructions hiding (_≤_)
open import Wasm.Validation.Types
------------------------------------------------------------------------
-- 3.4.1 Functions
record FuncOk (C : Context) (F : Func) (τ : FuncType) : Set where
private
module C = Context C
module F = Func F
module τ = FuncType τ
field
typeEq : C.getType F.type ≡ just τ
exprOk : record C
{ locals = toList F.locals ++ toList τ.from
; labels = τ.to ∷ []
; return = just τ.to
} ⊢ᵉ F.body ∶ τ.to
------------------------------------------------------------------------
-- 3.4.2 Tables
TableOk : Context → Table → TableType → Set
TableOk C tbl τ = tbl ≡ τ × TableTypeOk τ
------------------------------------------------------------------------
-- 3.4.3 Memories
MemOk : Context → Mem → MemType → Set
MemOk C mry τ = mry ≡ τ × MemTypeOk τ
------------------------------------------------------------------------
-- 3.4.4 Globals
record GlobalOk (C : Context) (G : Global) (τ : GlobalType) : Set where
private
module C = Context C
module G = Global G
mut = proj₁ τ
t = proj₂ τ
field
typeEq : G.type ≡ τ
typeOk : GlobalTypeOk τ
initOk : C ⊢ᵉ G.init ∶ t ∷ [] , s≤s z≤n
initConst : C ⊢* G.init const
------------------------------------------------------------------------
-- 3.4.5 Element Segments
data ElemModeOk : Context → ElemMode → RefType → Set where
passive : ∀ {C τ} → ElemModeOk C passive τ
active : ∀ {C x lim off t} → Context.getTable C x ≡ just (lim , t) → C ⊢ᵉ off ∶ inj₁ i32 ∷ [] , s≤s z≤n → C ⊢* off const → ElemModeOk C (active x off) t
declarative : ∀ {C τ} → ElemModeOk C declarative τ
record ElemOk (C : Context) (E : Elem) (τ : RefType) : Set where
private
module C = Context C
module E = Elem E
field
typeEq : E.type ≡ τ
initsOk : All (λ e → ∃ (C ⊢ᵉ e ∶_)) (toList E.init)
initsConst : All (C ⊢*_const) (toList E.init)
modeOk : ElemModeOk C E.mode E.type
------------------------------------------------------------------------
-- 3.4.6 Data Segments
data DataModeOk : Context → DataMode → Set where
passive : ∀ {C} → DataModeOk C passive
active : ∀ {C x lim off} → Context.getMem C x ≡ just lim → C ⊢ᵉ off ∶ inj₁ i32 ∷ [] , s≤s z≤n → C ⊢* off const → DataModeOk C (active x off)
DataOk : Context → Data → Set
DataOk C D = DataModeOk C (Data.mode D)
------------------------------------------------------------------------
-- 3.4.7 Start Function
StartOk : Context → Start → Set
StartOk C x = Context.getFunc C x ≡ just (([] , z≤n) ⟶ ([] , z≤n))
------------------------------------------------------------------------
-- 3.4.8 Exports
data ExportDescOk : Context → ExportDesc → ExternType → Set where
func : ∀ {C x t} → Context.getFunc C x ≡ just t → ExportDescOk C (func x) (func t)
table : ∀ {C x t} → Context.getTable C x ≡ just t → ExportDescOk C (table x) (table t)
mem : ∀ {C x t} → Context.getMem C x ≡ just t → ExportDescOk C (mem x) (mem t)
global : ∀ {C x t} → Context.getGlobal C x ≡ just t → ExportDescOk C (global x) (global t)
ExportOk : Context → Export → ExternType → Set
ExportOk C exp t = ExportDescOk C (Export.desc exp) t
------------------------------------------------------------------------
-- 3.4.9 Imports
data ImportDescOk : Context → ImportDesc → ExternType → Set where
func : ∀ {C x t} → Context.getType C x ≡ just t → ImportDescOk C (func x) (func t)
table : ∀ {C t} → TableTypeOk t → ImportDescOk C (table t) (table t)
mem : ∀ {C t} → MemTypeOk t → ImportDescOk C (mem t) (mem t)
global : ∀ {C t} → GlobalTypeOk t → ImportDescOk C (global t) (global t)
ImportOk : Context → Import → ExternType → Set
ImportOk C imp t = ImportDescOk C (Import.desc imp) t
------------------------------------------------------------------------
-- 3.4.10 Modules
record _⊢ᴹ_∶_⟶_ (M : Mod) (it : List ExternType) (et : List ExternType) : Set where
field
{ft} : List FuncType
{tt} : List TableType
{mt} : List MemType
{gt} : List GlobalType
{rt} : List RefType
private
module M = Mod M
ift = mapMaybe func? it
itt = mapMaybe table? it
imt = mapMaybe mem? it
igt = mapMaybe global? it
-- FIXME: find real references
x = []
C = record
{ types = toList M.types
; funcs = ft ++ ift
; tables = tt ++ itt
; mems = mt ++ imt
; globals = gt ++ igt
; elems = rt
; datas = replicate (Vec≤.length M.datas) _
; locals = []
; labels = []
; return = nothing
; refs = x
}
C′ = record
{ types = []
; funcs = Context.funcs C
; tables = []
; mems = []
; globals = igt
; elems = []
; datas = []
; locals = []
; labels = []
; return = nothing
; refs = Context.refs C
}
field
typesOk : All FuncTypeOk (toList M.types)
funcsOk : Pointwise (FuncOk C) (toList M.funcs) ft
tablesOk : Pointwise (TableOk C) (toList M.tables) tt
memsOk : Pointwise (MemOk C) (toList M.mems) mt
globalsOk : Pointwise (GlobalOk C′) (toList M.globals) gt
elemsOk : Pointwise (ElemOk C) (toList M.elems) rt
datasOk : All (DataOk C) (toList M.datas)
startOk : maybe (StartOk C) ⊤ M.start
importsOk : Pointwise (ImportOk C) (toList M.imports) it
exportsOk : Pointwise (ExportOk C) (toList M.exports) et
memsCount : Vec≤.length M.mems ≤ 1
exportDisjoint : AllPairs _≢_ (map (λ x → toString (Export.name x)) (toList M.exports))
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