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{-# OPTIONS --safe --without-K #-}
module Wasm.Data where
open import Data.Fin using (Fin; zero; suc)
open import Data.List using (List; []; _∷_; _++_; length; lookup; map)
open import Data.List.Relation.Binary.Pointwise using (Pointwise)
open import Data.List.Relation.Unary.All using (All)
open import Data.List.Relation.Unary.Any using (Any)
open import Data.List.Relation.Unary.AllPairs using (AllPairs)
open import Data.Maybe using (Maybe; just; nothing; maybe)
open import Data.Nat using (ℕ; suc; _+_; _≤_; z≤n)
open import Data.Product using (_×_; _,_; proj₁)
open import Data.Sum using (_⊎_)
open import Data.Unit using (⊤)
open import Data.Vec using (Vec)
open import Data.Vec.Relation.Unary.Any using () renaming (Any to VecAny)
open import Function as _ using (_∋_)
open import Relation.Binary.PropositionalEquality using (_≡_; _≢_)
open import Wasm.Data.Instruction as Inst using (Expression; SequenceConstant)
open import Wasm.Util.List.Map using (Map)
open import Wasm.Util.List.Map.Any using () renaming (Any to MapAny)
open import Wasm.Value using (Byte; Name)
open import Wasm.Type
record ExternTypes : Set where
field
funcs : List FuncType
tables : List TableType
mems : List MemType
globals : List GlobalType
record Context : Set where
field
funcs : List FuncType
tables : List TableType
mems : List MemType
globals : List GlobalType
elems : List RefType
datas : ℕ
private
makeContext : (Cᵢ : ExternTypes) → (Cₘ : Context) → (refs : List (Fin (length (ExternTypes.funcs Cᵢ ++ Context.funcs Cₘ)))) → Inst.Context
makeContext Cᵢ Cₘ refs = record
{ funcs = Cᵢ.funcs ++ Cₘ.funcs
; tables = Cᵢ.tables ++ Cₘ.tables
; mems = Cᵢ.mems ++ Cₘ.mems
; globals = Cᵢ.globals ++ Cₘ.globals
; elems = Cₘ.elems
; datas = Cₘ.datas
; locals = []
; labels = []
; return = nothing
; refs = refs
}
where
module Cᵢ = ExternTypes Cᵢ
module Cₘ = Context Cₘ
makeGlobalContext : (Cᵢ : ExternTypes) → (Cₘ : Context) → (refs : List (Fin (length (ExternTypes.funcs Cᵢ ++ Context.funcs Cₘ)))) → Inst.Context
makeGlobalContext Cᵢ Cₘ refs = record
{ funcs = Cᵢ.funcs ++ Cₘ.funcs
; tables = []
; mems = []
; globals = Cᵢ.globals
; elems = []
; datas = 0
; locals = []
; labels = []
; return = nothing
; refs = refs
}
where
module Cᵢ = ExternTypes Cᵢ
module Cₘ = Context Cₘ
record Function (C : Inst.Context) (τ : FuncType) : Set where
private
module τ = FuncType τ
field
locals : List ValType
private
C′ = Inst.Context ∋ record C
{ locals = τ.from ++ locals
; labels = τ.to ∷ []
; return = just τ.to
}
field
body : Expression C′ τ.to
record Global (C : Inst.Context) (τ : GlobalType) : Set where
private
module τ = GlobalType τ
field
{body} : Expression C (τ.type ∷ [])
constant : SequenceConstant body
GlobalRef : ∀ {C τ} → Global C τ → Fin (length (Inst.Context.funcs C)) → Set
GlobalRef global x = Inst.SequenceRef (Global.body global) x
data ElemMode (C : Inst.Context) : RefType → Set where
passive : ∀ {τ} → ElemMode C τ
active : ∀ table {offset : Expression C (num i32 ∷ [])} → SequenceConstant offset → ElemMode C (TableType.type (lookup (Inst.Context.tables C) table))
declarative : ∀ {τ} → ElemMode C τ
data ElemModeRef {C : Inst.Context} : ∀ {τ} → ElemMode C τ → Fin (length (Inst.Context.funcs C)) → Set where
activeRef : ∀ {x} table {offset} constant → Inst.SequenceRef offset x → ElemModeRef (active table {offset} constant) x
record Elem (C : Inst.Context) (τ : RefType) : Set where
field
{inits} : List (Expression C (ref τ ∷ []))
constant : All SequenceConstant inits
mode : ElemMode C τ
data ElemRef {C τ} (elem : Elem C τ) (x : Fin (length (Inst.Context.funcs C))) : Set where
initsRef : Any (λ init → Inst.SequenceRef init x) (Elem.inits elem) → ElemRef elem x
modeRef : ElemModeRef (Elem.mode elem) x → ElemRef elem x
data DataMode (C : Inst.Context) : Set where
passive : DataMode C
active : ∀ (memory : Fin (length (Inst.Context.mems C))) {offset : Expression C (num i32 ∷ [])} → SequenceConstant offset → DataMode C
data DataModeRef {C : Inst.Context} : DataMode C → Fin (length (Inst.Context.funcs C)) → Set where
activeRef : ∀ {x} memory {offset} constant → Inst.SequenceRef offset x → DataModeRef (active memory {offset} constant) x
record Data (C : Inst.Context) : Set where
field
init : List Byte
mode : DataMode C
DataRef : ∀ {C} → Data C → Fin (length (Inst.Context.funcs C)) → Set
DataRef dta x = DataModeRef (Data.mode dta) x
record Exports (C : Inst.Context) (Cₑ : ExternTypes) : Set where
private
module Cₑ = ExternTypes Cₑ
module C = Inst.Context C
field
funcs : List (Name × Fin (length (C.funcs)))
tables : List (Name × Fin (length (C.tables)))
mems : List (Name × Fin (length (C.mems)))
globals : List (Name × Fin (length (C.globals)))
funcsOk : Pointwise (λ (_ , x) τ → lookup C.funcs x ≡ τ) funcs Cₑ.funcs
tablesOk : Pointwise (λ (_ , x) τ → lookup C.tables x ≡ τ) tables Cₑ.tables
memsOk : Pointwise (λ (_ , x) τ → lookup C.mems x ≡ τ) mems Cₑ.mems
globalsOk : Pointwise (λ (_ , x) τ → lookup C.globals x ≡ τ) globals Cₑ.globals
names = map proj₁ funcs ++ map proj₁ tables ++ map proj₁ mems ++ map proj₁ globals
field
namesDisjoint : AllPairs _≢_ names
ExportsRef : ∀ {C Cₑ} → Exports C Cₑ → Fin (length (Inst.Context.funcs C)) → Set
ExportsRef exports x = Any (λ (_ , y) → y ≡ x) (Exports.funcs exports)
record Imports (Cᵢ : ExternTypes) : Set where
private
module Cᵢ = ExternTypes Cᵢ
field
funcs : Vec (Name × Name) (length Cᵢ.funcs)
tables : Vec (Name × Name) (length Cᵢ.tables)
mems : Vec (Name × Name) (length Cᵢ.mems)
globals : Vec (Name × Name) (length Cᵢ.globals)
record Module (it et : ExternTypes) : Set₁ where
private
module it = ExternTypes it
field
{ft} : List FuncType
tables : List TableType
mems : List MemType
{gt} : List GlobalType
{rt} : List RefType
{#datas} : ℕ
start : Maybe (Fin (length (it.funcs ++ ft)))
refs : List (Fin (length (it.funcs ++ ft)))
private
Cₘ = Context ∋ record
{ funcs = ft
; tables = tables
; mems = mems
; globals = gt
; elems = rt
; datas = #datas
}
C′ = makeGlobalContext it Cₘ refs
C = makeContext it Cₘ refs
field
funcs : Map (Function C) ft
globals : Map (Global C′) gt
elems : Map (Elem C) rt
datas : Vec (Data C) #datas
startOk : maybe (λ x → lookup (it.funcs ++ ft) x ≡ ([] ⟶ [])) ⊤ start
exports : Exports C et
memCount : length it.mems + length mems ≤ 1
refsUsed : All (λ i → MapAny (λ g → GlobalRef g i) globals
⊎ MapAny (λ e → ElemRef e i) elems
⊎ VecAny (λ d → DataRef d i) datas
⊎ ExportsRef exports i)
refs
private
module Test where
open import Data.List.Relation.Binary.Pointwise using ([]; _∷_)
open import Data.List.Relation.Unary.All using ([])
open import Data.List.Relation.Unary.AllPairs using ([]; _∷_)
open import Data.Vec using ([])
open import Relation.Binary.PropositionalEquality using (refl)
open import Wasm.Util.List.Map using (Map; []; _∷_)
open Inst
addTwoImports : ExternTypes
addTwoImports = record { funcs = [] ; tables = [] ; mems = [] ; globals = [] }
addTwoExports : ExternTypes
addTwoExports = record { funcs = (num i32 ∷ num i32 ∷ [] ⟶ num i32 ∷ []) ∷ [] ; tables = [] ; mems = [] ; globals = [] }
addTwoModule : Module addTwoImports addTwoExports
addTwoModule = record
{ tables = []
; mems = []
; start = nothing
; funcs = record
{ locals = []
; body = local-get zero ∙ local-get (suc zero) ∙ i32-binop i32.add ∙ nop
} ∷ []
; globals = []
; elems = []
; datas = []
; startOk = _
; exports = record
{ funcs = ("addTwo" , zero) ∷ []
; tables = []
; mems = []
; globals = []
; funcsOk = refl ∷ []
; tablesOk = []
; memsOk = []
; globalsOk = []
; namesDisjoint = [] ∷ []
}
; memCount = z≤n
; refsUsed = []
}
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