145 lines
5.3 KiB
Text
145 lines
5.3 KiB
Text
/-
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Copyright (c) 2019 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura
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The combined Except and State Monad that minimizes the number
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of memory allocations using the approach described in the paper
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"Counting immutable beans" by Sebastian and Leo
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-/
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prelude
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import init.control.state init.control.except
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universes u v
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namespace EState
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inductive Result (ε σ α : Type u)
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| ok {} : α → σ → Result
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| error {} : ε → σ → Result
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variables {ε σ α : Type u}
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inductive Result.IsOk : Result ε σ α → Prop
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| mk (a : α) (s : σ) : Result.IsOk (Result.ok a s)
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theorem notIsOkError {e : ε} {s : σ} (h : @Result.IsOk _ _ α (Result.error e s)) : False :=
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match h with end
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@[inline] def unreachableError {β : Type v} {e : ε} {s : σ} (h : @Result.IsOk _ _ α (Result.error e s)) : β :=
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False.elim (notIsOkError h)
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abbrev resultOk (ε σ α : Type u) := {r : Result ε σ α // r.IsOk}
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@[inline] protected def resultOk.mk (a : α) (s : σ) : resultOk ε σ α :=
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⟨Result.ok a s, Result.IsOk.mk a s⟩
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protected def Result.toString [HasToString ε] [HasToString α] : Result ε σ α → String
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| (Result.ok a _) := "ok: " ++ toString a
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| (Result.error e _) := "error: " ++ toString e
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protected def Result.repr [HasRepr ε] [HasRepr α] : Result ε σ α → String
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| (Result.error e _) := "(error " ++ repr e ++ ")"
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| (Result.ok a _) := "(ok " ++ repr a ++ ")"
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instance [HasToString ε] [HasToString α] : HasToString (Result ε σ α) := ⟨Result.toString⟩
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instance [HasRepr ε] [HasRepr α] : HasRepr (Result ε σ α) := ⟨Result.repr⟩
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end EState
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def EState (ε σ α : Type u) := EState.resultOk PUnit σ PUnit → EState.Result ε σ α
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namespace EState
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variables {ε σ α β : Type u}
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instance [Inhabited ε] : Inhabited (EState ε σ α) :=
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⟨λ r, match r with
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| ⟨Result.ok _ s, _⟩ := Result.error (default ε) s
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| ⟨Result.error _ _, h⟩ := unreachableError h⟩
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@[inline] protected def pure (a : α) : EState ε σ α :=
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λ r, match r with
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| ⟨Result.ok _ s, _⟩ := Result.ok a s
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| ⟨Result.error _ _, h⟩ := unreachableError h
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@[inline] protected def set (s : σ) : EState ε σ PUnit :=
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λ r, match r with
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| ⟨Result.ok _ _, _⟩ := Result.ok ⟨⟩ s
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| ⟨Result.error _ _, h⟩ := unreachableError h
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@[inline] protected def get : EState ε σ σ :=
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λ r, match r with
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| ⟨Result.ok _ s, _⟩ := Result.ok s s
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| ⟨Result.error _ _, h⟩ := unreachableError h
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@[inline] protected def modify (f : σ → σ) : EState ε σ PUnit :=
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λ r, match r with
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| ⟨Result.ok _ s, _⟩ := Result.ok ⟨⟩ (f s)
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| ⟨Result.error _ _, h⟩ := unreachableError h
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@[inline] protected def throw (e : ε) : EState ε σ α :=
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λ r, match r with
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| ⟨Result.ok _ s, _⟩ := Result.error e s
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| ⟨Result.error _ _, h⟩ := unreachableError h
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@[inline] protected def catch (x : EState ε σ α) (handle : ε → EState ε σ α) : EState ε σ α :=
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λ r, match x r with
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| Result.error e s := handle e (resultOk.mk ⟨⟩ s)
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| ok := ok
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@[inline] protected def orelse (x₁ x₂ : EState ε σ α) : EState ε σ α :=
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λ r, match x₁ r with
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| Result.error _ s := x₂ (resultOk.mk ⟨⟩ s)
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| ok := ok
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/-- Alternative orelse operator that allows to select which exception should be used.
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The default is to use the first exception since the standard `orelse` uses the second. -/
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@[inline] protected def orelse' (x₁ x₂ : EState ε σ α) (useFirstEx := true) : EState ε σ α :=
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λ r, match x₁ r with
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| Result.error e₁ s₁ :=
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match x₂ (resultOk.mk ⟨⟩ s₁) with
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| Result.error e₂ s₂ := Result.error (if useFirstEx then e₁ else e₂) s₂
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| ok := ok
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| ok := ok
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@[inline] def adaptExcept {ε' : Type u} [HasLift ε ε'] (x : EState ε σ α) : EState ε' σ α :=
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λ r, match x r with
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| Result.error e s := Result.error (lift e) s
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| Result.ok a s := Result.ok a s
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@[inline] protected def bind (x : EState ε σ α) (f : α → EState ε σ β) : EState ε σ β :=
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λ r, match x r with
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| Result.ok a s := f a (resultOk.mk ⟨⟩ s)
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| Result.error e s := Result.error e s
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@[inline] protected def map (f : α → β) (x : EState ε σ α) : EState ε σ β :=
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λ r, match x r with
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| Result.ok a s := Result.ok (f a) s
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| Result.error e s := Result.error e s
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@[inline] protected def seqRight (x : EState ε σ α) (y : EState ε σ β) : EState ε σ β :=
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λ r, match x r with
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| Result.ok _ s := y (resultOk.mk ⟨⟩ s)
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| Result.error e s := Result.error e s
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instance : Monad (EState ε σ) :=
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{ bind := @EState.bind _ _, pure := @EState.pure _ _, map := @EState.map _ _, seqRight := @EState.seqRight _ _ }
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instance : HasOrelse (EState ε σ α) :=
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{ orelse := @EState.orelse _ _ _ }
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instance : MonadState σ (EState ε σ) :=
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{ set := @EState.set _ _, get := @EState.get _ _, modify := @EState.modify _ _ }
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instance : MonadExcept ε (EState ε σ) :=
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{ throw := @EState.throw _ _, catch := @EState.catch _ _}
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@[inline] def run (x : EState ε σ α) (s : σ) : Result ε σ α :=
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x (resultOk.mk ⟨⟩ s)
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@[inline] def run' (x : EState ε σ α) (s : σ) : Option α :=
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match run x s with
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| Result.ok v _ := some v
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| Result.error _ _ := none
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end EState
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