Remove nested module from Graphs

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
Danila Fedorin 2024-04-13 19:33:58 -07:00
parent de956cdc6a
commit fc27b045d3
2 changed files with 55 additions and 56 deletions

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@ -52,7 +52,7 @@ record Program : Set where
rootStmt : Stmt rootStmt : Stmt
private private
buildResult = Construction.buildCfg rootStmt empty buildResult = buildCfg rootStmt empty
graph : Graph graph : Graph
graph = proj₁ buildResult graph = proj₁ buildResult

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@ -220,61 +220,60 @@ always P m = ∀ g₁ → let (g₂ , t , _) = m g₁ in P g₂ t
with q ← aQ g' with q ← aQ g'
with (g'' , (t₂ , g'⊆g'')) ← m₂ g' = (P-Mono _ _ _ g'⊆g'' p , q) with (g'' , (t₂ , g'⊆g'')) ← m₂ g' = (P-Mono _ _ _ g'⊆g'' p , q)
module Construction where pushBasicBlock : List BasicStmt → MonotonicGraphFunction Graph.Index
pushBasicBlock : List BasicStmt → MonotonicGraphFunction Graph.Index pushBasicBlock bss g =
pushBasicBlock bss g = ( record
( record { size = Graph.size g Nat.+ 1
{ size = Graph.size g Nat.+ 1 ; nodes = Graph.nodes g ++ (bss ∷ [])
; nodes = Graph.nodes g ++ (bss ∷ []) ; edges = List.map (λ e → ↑ˡ-Edge e 1) (Graph.edges g)
; edges = List.map (λ e → ↑ˡ-Edge e 1) (Graph.edges g) }
} , ( Graph.size g ↑ʳ zero
, ( Graph.size g ↑ʳ zero , record
, record { n = 1
{ n = 1 ; sg₂≡sg₁+n = refl
; sg₂≡sg₁+n = refl ; newNodes = (bss ∷ [])
; newNodes = (bss ∷ []) ; nsg₂≡nsg₁++newNodes = cast-is-id refl _
; nsg₂≡nsg₁++newNodes = cast-is-id refl _ ; e∈g₁⇒e∈g₂ = λ e∈g₁ → x∈xs⇒fx∈fxs (λ e → ↑ˡ-Edge e 1) e∈g₁
; e∈g₁⇒e∈g₂ = λ e∈g₁ → x∈xs⇒fx∈fxs (λ e → ↑ˡ-Edge e 1) e∈g₁ }
} )
) )
)
addEdges : ∀ (g : Graph) → List (Graph.Edge g) → Σ Graph (λ g' → g ⊆ g') addEdges : ∀ (g : Graph) → List (Graph.Edge g) → Σ Graph (λ g' → g ⊆ g')
addEdges (MkGraph s ns es) es' = addEdges (MkGraph s ns es) es' =
( record ( record
{ size = s { size = s
; nodes = ns ; nodes = ns
; edges = es' List.++ es ; edges = es' List.++ es
} }
, record , record
{ n = 0 { n = 0
; sg₂≡sg₁+n = +-comm 0 s ; sg₂≡sg₁+n = +-comm 0 s
; newNodes = [] ; newNodes = []
; nsg₂≡nsg₁++newNodes = cast-sym _ (++-identityʳ (+-comm s 0) ns) ; nsg₂≡nsg₁++newNodes = cast-sym _ (++-identityʳ (+-comm s 0) ns)
; e∈g₁⇒e∈g₂ = λ {e} e∈es → ; e∈g₁⇒e∈g₂ = λ {e} e∈es →
cast∈⇒∈subst (+-comm s 0) (+-comm 0 s) _ _ cast∈⇒∈subst (+-comm s 0) (+-comm 0 s) _ _
(subst (λ e' → e' ListMem.∈ _) (subst (λ e' → e' ListMem.∈ _)
(↑ˡ-Edge-identityʳ e (+-comm s 0)) (↑ˡ-Edge-identityʳ e (+-comm s 0))
(ListMemProp.∈-++⁺ʳ es' e∈es)) (ListMemProp.∈-++⁺ʳ es' e∈es))
} }
) )
pushEmptyBlock : MonotonicGraphFunction Graph.Index pushEmptyBlock : MonotonicGraphFunction Graph.Index
pushEmptyBlock = pushBasicBlock [] pushEmptyBlock = pushBasicBlock []
buildCfg : Stmt → MonotonicGraphFunction (Graph.Index ⊗ Graph.Index) buildCfg : Stmt → MonotonicGraphFunction (Graph.Index ⊗ Graph.Index)
buildCfg ⟨ bs₁ ⟩ = pushBasicBlock (bs₁ ∷ []) map (λ g idx → (idx , idx)) buildCfg ⟨ bs₁ ⟩ = pushBasicBlock (bs₁ ∷ []) map (λ g idx → (idx , idx))
buildCfg (s₁ then s₂) = buildCfg (s₁ then s₂) =
(buildCfg s₁ ⟨⊗⟩ buildCfg s₂) (buildCfg s₁ ⟨⊗⟩ buildCfg s₂)
update (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄)) → addEdges g ((idx₂ , idx₃) ∷ []) }) update (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄)) → addEdges g ((idx₂ , idx₃) ∷ []) })
map (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄)) → (idx₁ , idx₄) }) map (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄)) → (idx₁ , idx₄) })
buildCfg (if _ then s₁ else s₂) = buildCfg (if _ then s₁ else s₂) =
(buildCfg s₁ ⟨⊗⟩ buildCfg s₂ ⟨⊗⟩ pushEmptyBlock ⟨⊗⟩ pushEmptyBlock) (buildCfg s₁ ⟨⊗⟩ buildCfg s₂ ⟨⊗⟩ pushEmptyBlock ⟨⊗⟩ pushEmptyBlock)
update (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄) , idx , idx') → update (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄) , idx , idx') →
addEdges g ((idx , idx₁) ∷ (idx , idx₃) ∷ (idx₂ , idx') ∷ (idx₄ , idx') ∷ []) }) addEdges g ((idx , idx₁) ∷ (idx , idx₃) ∷ (idx₂ , idx') ∷ (idx₄ , idx') ∷ []) })
map (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄) , idx , idx') → (idx , idx') }) map (λ { g ((idx₁ , idx₂) , (idx₃ , idx₄) , idx , idx') → (idx , idx') })
buildCfg (while _ repeat s) = buildCfg (while _ repeat s) =
(buildCfg s ⟨⊗⟩ pushEmptyBlock ⟨⊗⟩ pushEmptyBlock) (buildCfg s ⟨⊗⟩ pushEmptyBlock ⟨⊗⟩ pushEmptyBlock)
update (λ { g ((idx₁ , idx₂) , idx , idx') → update (λ { g ((idx₁ , idx₂) , idx , idx') →
addEdges g ((idx , idx') ∷ (idx , idx₁) ∷ (idx₂ , idx) ∷ []) }) addEdges g ((idx , idx') ∷ (idx , idx₁) ∷ (idx₂ , idx) ∷ []) })
map (λ { g ((idx₁ , idx₂) , idx , idx') → (idx , idx') }) map (λ { g ((idx₁ , idx₂) , idx , idx') → (idx , idx') })