From 50d1542f830b7ceb73efd34573b6b56b4971a114 Mon Sep 17 00:00:00 2001 From: Son Ho Date: Tue, 9 May 2023 10:40:19 +0200 Subject: Regenerate the translated files for Lean --- tests/lean/betree/Base/Primitives.lean | 392 ------- tests/lean/betree/BetreeMain.lean | 1 - tests/lean/betree/BetreeMain/Clauses/Template.lean | 185 ---- tests/lean/betree/BetreeMain/Funs.lean | 1167 -------------------- tests/lean/betree/BetreeMain/Opaque.lean | 33 - tests/lean/betree/BetreeMain/Types.lean | 55 - tests/lean/betree/lake-manifest.json | 27 - tests/lean/betree/lakefile.lean | 12 - tests/lean/betree/lean-toolchain | 1 - 9 files changed, 1873 deletions(-) delete mode 100644 tests/lean/betree/Base/Primitives.lean delete mode 100644 tests/lean/betree/BetreeMain.lean delete mode 100644 tests/lean/betree/BetreeMain/Clauses/Template.lean delete mode 100644 tests/lean/betree/BetreeMain/Funs.lean delete mode 100644 tests/lean/betree/BetreeMain/Opaque.lean delete mode 100644 tests/lean/betree/BetreeMain/Types.lean delete mode 100644 tests/lean/betree/lake-manifest.json delete mode 100644 tests/lean/betree/lakefile.lean delete mode 100644 tests/lean/betree/lean-toolchain (limited to 'tests/lean/betree') diff --git a/tests/lean/betree/Base/Primitives.lean b/tests/lean/betree/Base/Primitives.lean deleted file mode 100644 index 5b64e908..00000000 --- a/tests/lean/betree/Base/Primitives.lean +++ /dev/null @@ -1,392 +0,0 @@ -import Lean -import Lean.Meta.Tactic.Simp -import Init.Data.List.Basic -import Mathlib.Tactic.RunCmd - -------------- --- PRELUDE -- -------------- - --- Results & monadic combinators - -inductive Error where - | assertionFailure: Error - | integerOverflow: Error - | arrayOutOfBounds: Error - | maximumSizeExceeded: Error - | panic: Error -deriving Repr, BEq - -open Error - -inductive Result (α : Type u) where - | ret (v: α): Result α - | fail (e: Error): Result α -deriving Repr, BEq - -open Result - -/- HELPERS -/ - -def ret? {α: Type} (r: Result α): Bool := - match r with - | Result.ret _ => true - | Result.fail _ => false - -def massert (b:Bool) : Result Unit := - if b then .ret () else fail assertionFailure - -def eval_global {α: Type} (x: Result α) (_: ret? x): α := - match x with - | Result.fail _ => by contradiction - | Result.ret x => x - -/- DO-DSL SUPPORT -/ - -def bind (x: Result α) (f: α -> Result β) : Result β := - match x with - | ret v => f v - | fail v => fail v - --- Allows using Result in do-blocks -instance : Bind Result where - bind := bind - --- Allows using return x in do-blocks -instance : Pure Result where - pure := fun x => ret x - -/- CUSTOM-DSL SUPPORT -/ - --- Let-binding the Result of a monadic operation is oftentimes not sufficient, --- because we may need a hypothesis for equational reasoning in the scope. We --- rely on subtype, and a custom let-binding operator, in effect recreating our --- own variant of the do-dsl - -def Result.attach {α: Type} (o : Result α): Result { x : α // o = ret x } := - match o with - | .ret x => .ret ⟨x, rfl⟩ - | .fail e => .fail e - -macro "let" e:term " ⟵ " f:term : doElem => - `(doElem| let ⟨$e, h⟩ ← Result.attach $f) - --- TODO: any way to factorize both definitions? -macro "let" e:term " <-- " f:term : doElem => - `(doElem| let ⟨$e, h⟩ ← Result.attach $f) - --- We call the hypothesis `h`, in effect making it unavailable to the user --- (because too much shadowing). But in practice, once can use the French single --- quote notation (input with f< and f>), where `‹ h ›` finds a suitable --- hypothesis in the context, this is equivalent to `have x: h := by assumption in x` -#eval do - let y <-- .ret (0: Nat) - let _: y = 0 := by cases ‹ ret 0 = ret y › ; decide - let r: { x: Nat // x = 0 } := ⟨ y, by assumption ⟩ - .ret r - ----------------------- --- MACHINE INTEGERS -- ----------------------- - --- NOTE: we reuse the fixed-width integer types from prelude.lean: UInt8, ..., --- USize. They are generally defined in an idiomatic style, except that there is --- not a single type class to rule them all (more on that below). The absence of --- type class is intentional, and allows the Lean compiler to efficiently map --- them to machine integers during compilation. - --- USize is designed properly: you cannot reduce `getNumBits` using the --- simplifier, meaning that proofs do not depend on the compile-time value of --- USize.size. (Lean assumes 32 or 64-bit platforms, and Rust doesn't really --- support, at least officially, 16-bit microcontrollers, so this seems like a --- fine design decision for now.) - --- Note from Chris Bailey: "If there's more than one salient property of your --- definition then the subtyping strategy might get messy, and the property part --- of a subtype is less discoverable by the simplifier or tactics like --- library_search." So, we will not add refinements on the return values of the --- operations defined on Primitives, but will rather rely on custom lemmas to --- invert on possible return values of the primitive operations. - --- Machine integer constants, done via `ofNatCore`, which requires a proof that --- the `Nat` fits within the desired integer type. We provide a custom tactic. - -syntax "intlit" : tactic - -macro_rules - | `(tactic| intlit) => `(tactic| - match USize.size, usize_size_eq with - | _, Or.inl rfl => decide - | _, Or.inr rfl => decide) - --- This is how the macro is expected to be used -#eval USize.ofNatCore 0 (by intlit) - --- Also works for other integer types (at the expense of a needless disjunction) -#eval UInt32.ofNatCore 0 (by intlit) - --- The machine integer operations (e.g. sub) are always total, which is not what --- we want. We therefore define "checked" variants, below. Note that we add a --- tiny bit of complexity for the USize variant: we first check whether the --- result is < 2^32; if it is, we can compute the definition, rather than --- returning a term that is computationally stuck (the comparison to USize.size --- cannot reduce at compile-time, per the remark about regarding `getNumBits`). --- This is useful for the various #asserts that we want to reduce at --- type-checking time. - --- Further thoughts: look at what has been done here: --- https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/Data/Fin/Basic.lean --- and --- https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/Data/UInt.lean --- which both contain a fair amount of reasoning already! -def USize.checked_sub (n: USize) (m: USize): Result USize := - -- NOTE: the test USize.toNat n - m >= 0 seems to always succeed? - if n >= m then - let n' := USize.toNat n - let m' := USize.toNat n - let r := USize.ofNatCore (n' - m') (by - have h: n' - m' <= n' := by - apply Nat.sub_le_of_le_add - case h => rewrite [ Nat.add_comm ]; apply Nat.le_add_left - apply Nat.lt_of_le_of_lt h - apply n.val.isLt - ) - return r - else - fail integerOverflow - -@[simp] -theorem usize_fits (n: Nat) (h: n <= 4294967295): n < USize.size := - match USize.size, usize_size_eq with - | _, Or.inl rfl => Nat.lt_of_le_of_lt h (by decide) - | _, Or.inr rfl => Nat.lt_of_le_of_lt h (by decide) - -def USize.checked_add (n: USize) (m: USize): Result USize := - if h: n.val + m.val < USize.size then - .ret ⟨ n.val + m.val, h ⟩ - else - .fail integerOverflow - -def USize.checked_rem (n: USize) (m: USize): Result USize := - if h: m > 0 then - .ret ⟨ n.val % m.val, by - have h1: ↑m.val < USize.size := m.val.isLt - have h2: n.val.val % m.val.val < m.val.val := @Nat.mod_lt n.val m.val h - apply Nat.lt_trans h2 h1 - ⟩ - else - .fail integerOverflow - -def USize.checked_mul (n: USize) (m: USize): Result USize := - if h: n.val * m.val < USize.size then - .ret ⟨ n.val * m.val, h ⟩ - else - .fail integerOverflow - -def USize.checked_div (n: USize) (m: USize): Result USize := - if m > 0 then - .ret ⟨ n.val / m.val, by - have h1: ↑n.val < USize.size := n.val.isLt - have h2: n.val.val / m.val.val <= n.val.val := @Nat.div_le_self n.val m.val - apply Nat.lt_of_le_of_lt h2 h1 - ⟩ - else - .fail integerOverflow - --- Test behavior... -#eval assert! USize.checked_sub 10 20 == fail integerOverflow; 0 - -#eval USize.checked_sub 20 10 --- NOTE: compare with concrete behavior here, which I do not think we want -#eval USize.sub 0 1 -#eval UInt8.add 255 255 - --- We now define a type class that subsumes the various machine integer types, so --- as to write a concise definition for scalar_cast, rather than exhaustively --- enumerating all of the possible pairs. We remark that Rust has sane semantics --- and fails if a cast operation would involve a truncation or modulo. - -class MachineInteger (t: Type) where - size: Nat - val: t -> Fin size - ofNatCore: (n:Nat) -> LT.lt n size -> t - -set_option hygiene false in -run_cmd - for typeName in [`UInt8, `UInt16, `UInt32, `UInt64, `USize].map Lean.mkIdent do - Lean.Elab.Command.elabCommand (← `( - namespace $typeName - instance: MachineInteger $typeName where - size := size - val := val - ofNatCore := ofNatCore - end $typeName - )) - --- Aeneas only instantiates the destination type (`src` is implicit). We rely on --- Lean to infer `src`. - -def scalar_cast { src: Type } (dst: Type) [ MachineInteger src ] [ MachineInteger dst ] (x: src): Result dst := - if h: MachineInteger.val x < MachineInteger.size dst then - .ret (MachineInteger.ofNatCore (MachineInteger.val x).val h) - else - .fail integerOverflow - -------------- --- VECTORS -- -------------- - --- Note: unlike F*, Lean seems to use strict upper bounds (e.g. USize.size) --- rather than maximum values (usize_max). -def Vec (α : Type u) := { l : List α // List.length l < USize.size } - -def vec_new (α : Type u): Vec α := ⟨ [], by { - match USize.size, usize_size_eq with - | _, Or.inl rfl => simp - | _, Or.inr rfl => simp - } ⟩ - -#check vec_new - -def vec_len (α : Type u) (v : Vec α) : USize := - let ⟨ v, l ⟩ := v - USize.ofNatCore (List.length v) l - -#eval vec_len Nat (vec_new Nat) - -def vec_push_fwd (α : Type u) (_ : Vec α) (_ : α) : Unit := () - --- NOTE: old version trying to use a subtype notation, but probably better to --- leave Result elimination to auxiliary lemmas with suitable preconditions --- TODO: I originally wrote `List.length v.val < USize.size - 1`; how can one --- make the proof work in that case? Probably need to import tactics from --- mathlib to deal with inequalities... would love to see an example. -def vec_push_back_old (α : Type u) (v : Vec α) (x : α) : { res: Result (Vec α) // - match res with | fail _ => True | ret v' => List.length v'.val = List.length v.val + 1} - := - if h : List.length v.val + 1 < USize.size then - ⟨ return ⟨List.concat v.val x, - by - rw [List.length_concat] - assumption - ⟩, by simp ⟩ - else - ⟨ fail maximumSizeExceeded, by simp ⟩ - -#eval do - -- NOTE: the // notation is syntactic sugar for Subtype, a refinement with - -- fields val and property. However, Lean's elaborator can automatically - -- select the `val` field if the context provides a type annotation. We - -- annotate `x`, which relieves us of having to write `.val` on the right-hand - -- side of the monadic let. - let v := vec_new Nat - let x: Vec Nat ← (vec_push_back_old Nat v 1: Result (Vec Nat)) -- WHY do we need the type annotation here? - -- TODO: strengthen post-condition above and do a demo to show that we can - -- safely eliminate the `fail` case - return (vec_len Nat x) - -def vec_push_back (α : Type u) (v : Vec α) (x : α) : Result (Vec α) - := - if h : List.length v.val + 1 <= 4294967295 then - return ⟨ List.concat v.val x, - by - rw [List.length_concat] - have h': 4294967295 < USize.size := by intlit - apply Nat.lt_of_le_of_lt h h' - ⟩ - else if h: List.length v.val + 1 < USize.size then - return ⟨List.concat v.val x, - by - rw [List.length_concat] - assumption - ⟩ - else - fail maximumSizeExceeded - -def vec_insert_fwd (α : Type u) (v: Vec α) (i: USize) (_: α): Result Unit := - if i.val < List.length v.val then - .ret () - else - .fail arrayOutOfBounds - -def vec_insert_back (α : Type u) (v: Vec α) (i: USize) (x: α): Result (Vec α) := - if i.val < List.length v.val then - .ret ⟨ List.set v.val i.val x, by - have h: List.length v.val < USize.size := v.property - rewrite [ List.length_set v.val i.val x ] - assumption - ⟩ - else - .fail arrayOutOfBounds - -def vec_index_fwd (α : Type u) (v: Vec α) (i: USize): Result α := - if h: i.val < List.length v.val then - .ret (List.get v.val ⟨i.val, h⟩) - else - .fail arrayOutOfBounds - -def vec_index_back (α : Type u) (v: Vec α) (i: USize) (_: α): Result Unit := - if i.val < List.length v.val then - .ret () - else - .fail arrayOutOfBounds - -def vec_index_mut_fwd (α : Type u) (v: Vec α) (i: USize): Result α := - if h: i.val < List.length v.val then - .ret (List.get v.val ⟨i.val, h⟩) - else - .fail arrayOutOfBounds - -def vec_index_mut_back (α : Type u) (v: Vec α) (i: USize) (x: α): Result (Vec α) := - if i.val < List.length v.val then - .ret ⟨ List.set v.val i.val x, by - have h: List.length v.val < USize.size := v.property - rewrite [ List.length_set v.val i.val x ] - assumption - ⟩ - else - .fail arrayOutOfBounds - ----------- --- MISC -- ----------- - -def mem_replace_fwd (a : Type) (x : a) (_ : a) : a := - x - -def mem_replace_back (a : Type) (_ : a) (y : a) : a := - y - -/-- Aeneas-translated function -- useful to reduce non-recursive definitions. - Use with `simp [ aeneas ]` -/ -register_simp_attr aeneas - --------------------- --- ASSERT COMMAND -- --------------------- - -open Lean Elab Command Term Meta - -syntax (name := assert) "#assert" term: command - -@[command_elab assert] -unsafe -def assertImpl : CommandElab := fun (_stx: Syntax) => do - runTermElabM (fun _ => do - let r ← evalTerm Bool (mkConst ``Bool) _stx[1] - if not r then - logInfo "Assertion failed for: " - logInfo _stx[1] - logError "Expression reduced to false" - pure ()) - -#eval 2 == 2 -#assert (2 == 2) - -------------------- --- SANITY CHECKS -- -------------------- - --- TODO: add more once we have signed integers - -#assert (USize.checked_rem 1 2 == .ret 1) diff --git a/tests/lean/betree/BetreeMain.lean b/tests/lean/betree/BetreeMain.lean deleted file mode 100644 index 5f307877..00000000 --- a/tests/lean/betree/BetreeMain.lean +++ /dev/null @@ -1 +0,0 @@ -import BetreeMain.Funs diff --git a/tests/lean/betree/BetreeMain/Clauses/Template.lean b/tests/lean/betree/BetreeMain/Clauses/Template.lean deleted file mode 100644 index 1d18174e..00000000 --- a/tests/lean/betree/BetreeMain/Clauses/Template.lean +++ /dev/null @@ -1,185 +0,0 @@ --- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS --- [betree_main]: templates for the decreases clauses -import Base.Primitives -import BetreeMain.Types - -/- [betree_main::betree::List::{1}::len]: termination measure -/ -@[simp] -def betree_list_len_terminates (T : Type) (self : betree_list_t T) := self - -/- [betree_main::betree::List::{1}::len]: decreases_by tactic -/ -syntax "betree_list_len_decreases" term+ : tactic -macro_rules -| `(tactic| betree_list_len_decreases $self) =>`(tactic| sorry) - -/- [betree_main::betree::List::{1}::split_at]: termination measure -/ -@[simp] -def betree_list_split_at_terminates (T : Type) (self : betree_list_t T) - (n : UInt64) := - (self, n) - -/- [betree_main::betree::List::{1}::split_at]: decreases_by tactic -/ -syntax "betree_list_split_at_decreases" term+ : tactic -macro_rules -| `(tactic| betree_list_split_at_decreases $self $n) =>`(tactic| sorry) - -/- [betree_main::betree::List::{2}::partition_at_pivot]: termination measure -/ -@[simp] -def betree_list_partition_at_pivot_terminates (T : Type) - (self : betree_list_t (UInt64 × T)) (pivot : UInt64) := - (self, pivot) - -/- [betree_main::betree::List::{2}::partition_at_pivot]: decreases_by tactic -/ -syntax "betree_list_partition_at_pivot_decreases" term+ : tactic -macro_rules -| `(tactic| betree_list_partition_at_pivot_decreases $self $pivot) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::lookup_in_bindings]: termination measure -/ -@[simp] -def betree_node_lookup_in_bindings_terminates (key : UInt64) - (bindings : betree_list_t (UInt64 × UInt64)) := - (key, bindings) - -/- [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases_by tactic -/ -syntax "betree_node_lookup_in_bindings_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_lookup_in_bindings_decreases $key $bindings) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::lookup_first_message_for_key]: termination measure -/ -@[simp] -def betree_node_lookup_first_message_for_key_terminates (key : UInt64) - (msgs : betree_list_t (UInt64 × betree_message_t)) := - (key, msgs) - -/- [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases_by tactic -/ -syntax "betree_node_lookup_first_message_for_key_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_lookup_first_message_for_key_decreases $key $msgs) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::apply_upserts]: termination measure -/ -@[simp] -def betree_node_apply_upserts_terminates - (msgs : betree_list_t (UInt64 × betree_message_t)) (prev : Option UInt64) - (key : UInt64) (st : State) := - (msgs, prev, key, st) - -/- [betree_main::betree::Node::{5}::apply_upserts]: decreases_by tactic -/ -syntax "betree_node_apply_upserts_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_apply_upserts_decreases $msgs $prev $key $st) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::lookup]: termination measure -/ -@[simp] -def betree_node_lookup_terminates (self : betree_node_t) (key : UInt64) - (st : State) := - (self, key, st) - -/- [betree_main::betree::Node::{5}::lookup]: decreases_by tactic -/ -syntax "betree_node_lookup_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_lookup_decreases $self $key $st) =>`(tactic| sorry) - -/- [betree_main::betree::Internal::{4}::lookup_in_children]: termination measure -/ -@[simp] -def betree_internal_lookup_in_children_terminates (self : betree_internal_t) - (key : UInt64) (st : State) := - (self, key, st) - -/- [betree_main::betree::Internal::{4}::lookup_in_children]: decreases_by tactic -/ -syntax "betree_internal_lookup_in_children_decreases" term+ : tactic -macro_rules -| `(tactic| betree_internal_lookup_in_children_decreases $self $key $st) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: termination measure -/ -@[simp] -def betree_node_lookup_mut_in_bindings_terminates (key : UInt64) - (bindings : betree_list_t (UInt64 × UInt64)) := - (key, bindings) - -/- [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases_by tactic -/ -syntax "betree_node_lookup_mut_in_bindings_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_lookup_mut_in_bindings_decreases $key $bindings) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::apply_messages_to_leaf]: termination measure -/ -@[simp] -def betree_node_apply_messages_to_leaf_terminates - (bindings : betree_list_t (UInt64 × UInt64)) - (new_msgs : betree_list_t (UInt64 × betree_message_t)) := - (bindings, new_msgs) - -/- [betree_main::betree::Node::{5}::apply_messages_to_leaf]: decreases_by tactic -/ -syntax "betree_node_apply_messages_to_leaf_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_apply_messages_to_leaf_decreases $bindings -$new_msgs) =>`(tactic| sorry) - -/- [betree_main::betree::Node::{5}::filter_messages_for_key]: termination measure -/ -@[simp] -def betree_node_filter_messages_for_key_terminates (key : UInt64) - (msgs : betree_list_t (UInt64 × betree_message_t)) := - (key, msgs) - -/- [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases_by tactic -/ -syntax "betree_node_filter_messages_for_key_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_filter_messages_for_key_decreases $key $msgs) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::lookup_first_message_after_key]: termination measure -/ -@[simp] -def betree_node_lookup_first_message_after_key_terminates (key : UInt64) - (msgs : betree_list_t (UInt64 × betree_message_t)) := - (key, msgs) - -/- [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases_by tactic -/ -syntax "betree_node_lookup_first_message_after_key_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_lookup_first_message_after_key_decreases $key $msgs) => - `(tactic| sorry) - -/- [betree_main::betree::Node::{5}::apply_messages_to_internal]: termination measure -/ -@[simp] -def betree_node_apply_messages_to_internal_terminates - (msgs : betree_list_t (UInt64 × betree_message_t)) - (new_msgs : betree_list_t (UInt64 × betree_message_t)) := - (msgs, new_msgs) - -/- [betree_main::betree::Node::{5}::apply_messages_to_internal]: decreases_by tactic -/ -syntax "betree_node_apply_messages_to_internal_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_apply_messages_to_internal_decreases $msgs -$new_msgs) =>`(tactic| sorry) - -/- [betree_main::betree::Node::{5}::apply_messages]: termination measure -/ -@[simp] -def betree_node_apply_messages_terminates (self : betree_node_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (UInt64 × betree_message_t)) (st : State) := - (self, params, node_id_cnt, msgs, st) - -/- [betree_main::betree::Node::{5}::apply_messages]: decreases_by tactic -/ -syntax "betree_node_apply_messages_decreases" term+ : tactic -macro_rules -| `(tactic| betree_node_apply_messages_decreases $self $params $node_id_cnt -$msgs $st) =>`(tactic| sorry) - -/- [betree_main::betree::Internal::{4}::flush]: termination measure -/ -@[simp] -def betree_internal_flush_terminates (self : betree_internal_t) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (UInt64 × betree_message_t)) (st : State) := - (self, params, node_id_cnt, content, st) - -/- [betree_main::betree::Internal::{4}::flush]: decreases_by tactic -/ -syntax "betree_internal_flush_decreases" term+ : tactic -macro_rules -| `(tactic| betree_internal_flush_decreases $self $params $node_id_cnt $content -$st) =>`(tactic| sorry) - diff --git a/tests/lean/betree/BetreeMain/Funs.lean b/tests/lean/betree/BetreeMain/Funs.lean deleted file mode 100644 index 7177e2ec..00000000 --- a/tests/lean/betree/BetreeMain/Funs.lean +++ /dev/null @@ -1,1167 +0,0 @@ --- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS --- [betree_main]: function definitions -import Base.Primitives -import BetreeMain.Types -import BetreeMain.Opaque -import BetreeMain.Clauses.Clauses - -section variable (opaque_defs: OpaqueDefs) - -/- [betree_main::betree::load_internal_node] -/ -def betree_load_internal_node_fwd - (id : UInt64) (st : State) : - Result (State × (betree_list_t (UInt64 × betree_message_t))) - := - opaque_defs.betree_utils_load_internal_node_fwd id st - -/- [betree_main::betree::store_internal_node] -/ -def betree_store_internal_node_fwd - (id : UInt64) (content : betree_list_t (UInt64 × betree_message_t)) - (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - opaque_defs.betree_utils_store_internal_node_fwd id content st - Result.ret (st0, ()) - -/- [betree_main::betree::load_leaf_node] -/ -def betree_load_leaf_node_fwd - (id : UInt64) (st : State) : - Result (State × (betree_list_t (UInt64 × UInt64))) - := - opaque_defs.betree_utils_load_leaf_node_fwd id st - -/- [betree_main::betree::store_leaf_node] -/ -def betree_store_leaf_node_fwd - (id : UInt64) (content : betree_list_t (UInt64 × UInt64)) (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← opaque_defs.betree_utils_store_leaf_node_fwd id content st - Result.ret (st0, ()) - -/- [betree_main::betree::fresh_node_id] -/ -def betree_fresh_node_id_fwd (counter : UInt64) : Result UInt64 := - do - let _ ← UInt64.checked_add counter (UInt64.ofNatCore 1 (by intlit)) - Result.ret counter - -/- [betree_main::betree::fresh_node_id] -/ -def betree_fresh_node_id_back (counter : UInt64) : Result UInt64 := - UInt64.checked_add counter (UInt64.ofNatCore 1 (by intlit)) - -/- [betree_main::betree::NodeIdCounter::{0}::new] -/ -def betree_node_id_counter_new_fwd : Result betree_node_id_counter_t := - Result.ret - { betree_node_id_counter_next_node_id := (UInt64.ofNatCore 0 (by intlit)) } - -/- [betree_main::betree::NodeIdCounter::{0}::fresh_id] -/ -def betree_node_id_counter_fresh_id_fwd - (self : betree_node_id_counter_t) : Result UInt64 := - do - let _ ← UInt64.checked_add self.betree_node_id_counter_next_node_id - (UInt64.ofNatCore 1 (by intlit)) - Result.ret self.betree_node_id_counter_next_node_id - -/- [betree_main::betree::NodeIdCounter::{0}::fresh_id] -/ -def betree_node_id_counter_fresh_id_back - (self : betree_node_id_counter_t) : Result betree_node_id_counter_t := - do - let i ← UInt64.checked_add self.betree_node_id_counter_next_node_id - (UInt64.ofNatCore 1 (by intlit)) - Result.ret { betree_node_id_counter_next_node_id := i } - -/- [core::num::u64::{10}::MAX] -/ -def core_num_u64_max_body : Result UInt64 := - Result.ret (UInt64.ofNatCore 18446744073709551615 (by intlit)) -def core_num_u64_max_c : UInt64 := eval_global core_num_u64_max_body (by simp) - -/- [betree_main::betree::upsert_update] -/ -def betree_upsert_update_fwd - (prev : Option UInt64) (st : betree_upsert_fun_state_t) : Result UInt64 := - match h: prev with - | Option.none => - match h: st with - | betree_upsert_fun_state_t.Add v => Result.ret v - | betree_upsert_fun_state_t.Sub i => - Result.ret (UInt64.ofNatCore 0 (by intlit)) - | Option.some prev0 => - match h: st with - | betree_upsert_fun_state_t.Add v => - do - let margin ← UInt64.checked_sub core_num_u64_max_c prev0 - if h: margin >= v - then UInt64.checked_add prev0 v - else Result.ret core_num_u64_max_c - | betree_upsert_fun_state_t.Sub v => - if h: prev0 >= v - then UInt64.checked_sub prev0 v - else Result.ret (UInt64.ofNatCore 0 (by intlit)) - -/- [betree_main::betree::List::{1}::len] -/ -def betree_list_len_fwd - (T : Type) (self : betree_list_t T) : (Result UInt64) := - match h: self with - | betree_list_t.Cons t tl => - do - let i ← betree_list_len_fwd T tl - UInt64.checked_add (UInt64.ofNatCore 1 (by intlit)) i - | betree_list_t.Nil => Result.ret (UInt64.ofNatCore 0 (by intlit)) -termination_by betree_list_len_fwd self => betree_list_len_terminates T self -decreasing_by betree_list_len_decreases self - -/- [betree_main::betree::List::{1}::split_at] -/ -def betree_list_split_at_fwd - (T : Type) (self : betree_list_t T) (n : UInt64) : - (Result ((betree_list_t T) × (betree_list_t T))) - := - if h: n = (UInt64.ofNatCore 0 (by intlit)) - then Result.ret (betree_list_t.Nil, self) - else - match h: self with - | betree_list_t.Cons hd tl => - do - let i ← UInt64.checked_sub n (UInt64.ofNatCore 1 (by intlit)) - let p ← betree_list_split_at_fwd T tl i - let (ls0, ls1) := p - let l := ls0 - Result.ret (betree_list_t.Cons hd l, ls1) - | betree_list_t.Nil => Result.fail Error.panic -termination_by betree_list_split_at_fwd self n => - betree_list_split_at_terminates T self n -decreasing_by betree_list_split_at_decreases self n - -/- [betree_main::betree::List::{1}::push_front] -/ -def betree_list_push_front_fwd_back - (T : Type) (self : betree_list_t T) (x : T) : Result (betree_list_t T) := - let tl := mem_replace_fwd (betree_list_t T) self betree_list_t.Nil - let l := tl - Result.ret (betree_list_t.Cons x l) - -/- [betree_main::betree::List::{1}::pop_front] -/ -def betree_list_pop_front_fwd (T : Type) (self : betree_list_t T) : Result T := - let ls := mem_replace_fwd (betree_list_t T) self betree_list_t.Nil - match h: ls with - | betree_list_t.Cons x tl => Result.ret x - | betree_list_t.Nil => Result.fail Error.panic - -/- [betree_main::betree::List::{1}::pop_front] -/ -def betree_list_pop_front_back - (T : Type) (self : betree_list_t T) : Result (betree_list_t T) := - let ls := mem_replace_fwd (betree_list_t T) self betree_list_t.Nil - match h: ls with - | betree_list_t.Cons x tl => Result.ret tl - | betree_list_t.Nil => Result.fail Error.panic - -/- [betree_main::betree::List::{1}::hd] -/ -def betree_list_hd_fwd (T : Type) (self : betree_list_t T) : Result T := - match h: self with - | betree_list_t.Cons hd l => Result.ret hd - | betree_list_t.Nil => Result.fail Error.panic - -/- [betree_main::betree::List::{2}::head_has_key] -/ -def betree_list_head_has_key_fwd - (T : Type) (self : betree_list_t (UInt64 × T)) (key : UInt64) : - Result Bool - := - match h: self with - | betree_list_t.Cons hd l => let (i, _) := hd - Result.ret (i = key) - | betree_list_t.Nil => Result.ret false - -/- [betree_main::betree::List::{2}::partition_at_pivot] -/ -def betree_list_partition_at_pivot_fwd - (T : Type) (self : betree_list_t (UInt64 × T)) (pivot : UInt64) : - (Result ((betree_list_t (UInt64 × T)) × (betree_list_t (UInt64 × T)))) - := - match h: self with - | betree_list_t.Cons hd tl => - let (i, t) := hd - if h: i >= pivot - then Result.ret (betree_list_t.Nil, betree_list_t.Cons (i, t) tl) - else - do - let p ← betree_list_partition_at_pivot_fwd T tl pivot - let (ls0, ls1) := p - let l := ls0 - Result.ret (betree_list_t.Cons (i, t) l, ls1) - | betree_list_t.Nil => Result.ret (betree_list_t.Nil, betree_list_t.Nil) -termination_by betree_list_partition_at_pivot_fwd self pivot => - betree_list_partition_at_pivot_terminates T self pivot -decreasing_by betree_list_partition_at_pivot_decreases self pivot - -/- [betree_main::betree::Leaf::{3}::split] -/ -def betree_leaf_split_fwd - (self : betree_leaf_t) (content : betree_list_t (UInt64 × UInt64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (st : State) : - Result (State × betree_internal_t) - := - do - let p ← - betree_list_split_at_fwd (UInt64 × UInt64) content - params.betree_params_split_size - let (content0, content1) := p - let p0 ← betree_list_hd_fwd (UInt64 × UInt64) content1 - let (pivot, _) := p0 - let id0 ← betree_node_id_counter_fresh_id_fwd node_id_cnt - let node_id_cnt0 ← betree_node_id_counter_fresh_id_back node_id_cnt - let id1 ← betree_node_id_counter_fresh_id_fwd node_id_cnt0 - let (st0, _) ← betree_store_leaf_node_fwd id0 content0 st - let (st1, _) ← betree_store_leaf_node_fwd id1 content1 st0 - let n := betree_node_t.Leaf - { - betree_leaf_id := id0, - betree_leaf_size := params.betree_params_split_size - } - let n0 := betree_node_t.Leaf - { - betree_leaf_id := id1, - betree_leaf_size := params.betree_params_split_size - } - Result.ret (st1, mkbetree_internal_t self.betree_leaf_id pivot n n0) - -/- [betree_main::betree::Leaf::{3}::split] -/ -def betree_leaf_split_back - (self : betree_leaf_t) (content : betree_list_t (UInt64 × UInt64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (st : State) : - Result betree_node_id_counter_t - := - do - let p ← - betree_list_split_at_fwd (UInt64 × UInt64) content - params.betree_params_split_size - let (content0, content1) := p - let _ ← betree_list_hd_fwd (UInt64 × UInt64) content1 - let id0 ← betree_node_id_counter_fresh_id_fwd node_id_cnt - let node_id_cnt0 ← betree_node_id_counter_fresh_id_back node_id_cnt - let id1 ← betree_node_id_counter_fresh_id_fwd node_id_cnt0 - let (st0, _) ← betree_store_leaf_node_fwd id0 content0 st - let _ ← betree_store_leaf_node_fwd id1 content1 st0 - betree_node_id_counter_fresh_id_back node_id_cnt0 - -/- [betree_main::betree::Node::{5}::lookup_in_bindings] -/ -def betree_node_lookup_in_bindings_fwd - (key : UInt64) (bindings : betree_list_t (UInt64 × UInt64)) : - (Result (Option UInt64)) - := - match h: bindings with - | betree_list_t.Cons hd tl => - let (i, i0) := hd - if h: i = key - then Result.ret (Option.some i0) - else - if h: i > key - then Result.ret Option.none - else betree_node_lookup_in_bindings_fwd key tl - | betree_list_t.Nil => Result.ret Option.none -termination_by betree_node_lookup_in_bindings_fwd key bindings => - betree_node_lookup_in_bindings_terminates key bindings -decreasing_by betree_node_lookup_in_bindings_decreases key bindings - -/- [betree_main::betree::Node::{5}::lookup_first_message_for_key] -/ -def betree_node_lookup_first_message_for_key_fwd - (key : UInt64) (msgs : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - match h: msgs with - | betree_list_t.Cons x next_msgs => - let (i, m) := x - if h: i >= key - then Result.ret (betree_list_t.Cons (i, m) next_msgs) - else betree_node_lookup_first_message_for_key_fwd key next_msgs - | betree_list_t.Nil => Result.ret betree_list_t.Nil -termination_by betree_node_lookup_first_message_for_key_fwd key msgs => - betree_node_lookup_first_message_for_key_terminates key msgs -decreasing_by betree_node_lookup_first_message_for_key_decreases key msgs - -/- [betree_main::betree::Node::{5}::lookup_first_message_for_key] -/ -def betree_node_lookup_first_message_for_key_back - (key : UInt64) (msgs : betree_list_t (UInt64 × betree_message_t)) - (ret0 : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - match h: msgs with - | betree_list_t.Cons x next_msgs => - let (i, m) := x - if h: i >= key - then Result.ret ret0 - else - do - let next_msgs0 ← - betree_node_lookup_first_message_for_key_back key next_msgs ret0 - Result.ret (betree_list_t.Cons (i, m) next_msgs0) - | betree_list_t.Nil => Result.ret ret0 -termination_by betree_node_lookup_first_message_for_key_back key msgs ret0 => - betree_node_lookup_first_message_for_key_terminates key msgs -decreasing_by betree_node_lookup_first_message_for_key_decreases key msgs - -/- [betree_main::betree::Node::{5}::apply_upserts] -/ -def betree_node_apply_upserts_fwd - (msgs : betree_list_t (UInt64 × betree_message_t)) (prev : Option UInt64) - (key : UInt64) (st : State) : - (Result (State × UInt64)) - := - do - let b ← betree_list_head_has_key_fwd betree_message_t msgs key - if h: b - then - do - let msg ← betree_list_pop_front_fwd (UInt64 × betree_message_t) msgs - let (_, m) := msg - match h: m with - | betree_message_t.Insert i => Result.fail Error.panic - | betree_message_t.Delete => Result.fail Error.panic - | betree_message_t.Upsert s => - do - let v ← betree_upsert_update_fwd prev s - let msgs0 ← - betree_list_pop_front_back (UInt64 × betree_message_t) msgs - betree_node_apply_upserts_fwd msgs0 (Option.some v) key st - else - do - let (st0, v) ← - opaque_defs.core_option_option_unwrap_fwd UInt64 prev st - let _ ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) msgs - (key, betree_message_t.Insert v) - Result.ret (st0, v) -termination_by betree_node_apply_upserts_fwd msgs prev key st => - betree_node_apply_upserts_terminates msgs prev key st -decreasing_by betree_node_apply_upserts_decreases msgs prev key st - -/- [betree_main::betree::Node::{5}::apply_upserts] -/ -def betree_node_apply_upserts_back - (msgs : betree_list_t (UInt64 × betree_message_t)) (prev : Option UInt64) - (key : UInt64) (st : State) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - do - let b ← betree_list_head_has_key_fwd betree_message_t msgs key - if h: b - then - do - let msg ← betree_list_pop_front_fwd (UInt64 × betree_message_t) msgs - let (_, m) := msg - match h: m with - | betree_message_t.Insert i => Result.fail Error.panic - | betree_message_t.Delete => Result.fail Error.panic - | betree_message_t.Upsert s => - do - let v ← betree_upsert_update_fwd prev s - let msgs0 ← - betree_list_pop_front_back (UInt64 × betree_message_t) msgs - betree_node_apply_upserts_back msgs0 (Option.some v) key st - else - do - let (_, v) ← opaque_defs.core_option_option_unwrap_fwd UInt64 prev st - betree_list_push_front_fwd_back (UInt64 × betree_message_t) msgs (key, - betree_message_t.Insert v) -termination_by betree_node_apply_upserts_back msgs prev key st => - betree_node_apply_upserts_terminates msgs prev key st -decreasing_by betree_node_apply_upserts_decreases msgs prev key st - -/- [betree_main::betree::Node::{5}::lookup] -/ -mutual def betree_node_lookup_fwd - (self : betree_node_t) (key : UInt64) (st : State) : - (Result (State × (Option UInt64))) - := - match h: self with - | betree_node_t.Internal node => - do - let (mkbetree_internal_t i i0 n n0) := node - let (st0, msgs) ← betree_load_internal_node_fwd i st - let pending ← betree_node_lookup_first_message_for_key_fwd key msgs - match h: pending with - | betree_list_t.Cons p l => - let (k, msg) := p - if h: k != key - then - do - let (st1, opt) ← - betree_internal_lookup_in_children_fwd (mkbetree_internal_t i i0 - n n0) key st0 - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - (betree_list_t.Cons (k, msg) l) - Result.ret (st1, opt) - else - match h: msg with - | betree_message_t.Insert v => - do - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - (betree_list_t.Cons (k, betree_message_t.Insert v) l) - Result.ret (st0, Option.some v) - | betree_message_t.Delete => - do - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - (betree_list_t.Cons (k, betree_message_t.Delete) l) - Result.ret (st0, Option.none) - | betree_message_t.Upsert ufs => - do - let (st1, v) ← - betree_internal_lookup_in_children_fwd (mkbetree_internal_t i - i0 n n0) key st0 - let (st2, v0) ← - betree_node_apply_upserts_fwd (betree_list_t.Cons (k, - betree_message_t.Upsert ufs) l) v key st1 - let node0 ← - betree_internal_lookup_in_children_back (mkbetree_internal_t i - i0 n n0) key st0 - let (mkbetree_internal_t i1 _ _ _) := node0 - let pending0 ← - betree_node_apply_upserts_back (betree_list_t.Cons (k, - betree_message_t.Upsert ufs) l) v key st1 - let msgs0 ← - betree_node_lookup_first_message_for_key_back key msgs pending0 - let (st3, _) ← betree_store_internal_node_fwd i1 msgs0 st2 - Result.ret (st3, Option.some v0) - | betree_list_t.Nil => - do - let (st1, opt) ← - betree_internal_lookup_in_children_fwd (mkbetree_internal_t i i0 n - n0) key st0 - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - betree_list_t.Nil - Result.ret (st1, opt) - | betree_node_t.Leaf node => - do - let (st0, bindings) ← betree_load_leaf_node_fwd node.betree_leaf_id st - let opt ← betree_node_lookup_in_bindings_fwd key bindings - Result.ret (st0, opt) -termination_by betree_node_lookup_fwd self key st => - betree_node_lookup_terminates self key st -decreasing_by betree_node_lookup_decreases self key st - -/- [betree_main::betree::Node::{5}::lookup] -/ -def betree_node_lookup_back - (self : betree_node_t) (key : UInt64) (st : State) : - (Result betree_node_t) - := - match h: self with - | betree_node_t.Internal node => - do - let (mkbetree_internal_t i i0 n n0) := node - let (st0, msgs) ← betree_load_internal_node_fwd i st - let pending ← betree_node_lookup_first_message_for_key_fwd key msgs - match h: pending with - | betree_list_t.Cons p l => - let (k, msg) := p - if h: k != key - then - do - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - (betree_list_t.Cons (k, msg) l) - let node0 ← - betree_internal_lookup_in_children_back (mkbetree_internal_t i i0 - n n0) key st0 - Result.ret (betree_node_t.Internal node0) - else - match h: msg with - | betree_message_t.Insert v => - do - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - (betree_list_t.Cons (k, betree_message_t.Insert v) l) - Result.ret (betree_node_t.Internal (mkbetree_internal_t i i0 n - n0)) - | betree_message_t.Delete => - do - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - (betree_list_t.Cons (k, betree_message_t.Delete) l) - Result.ret (betree_node_t.Internal (mkbetree_internal_t i i0 n - n0)) - | betree_message_t.Upsert ufs => - do - let (st1, v) ← - betree_internal_lookup_in_children_fwd (mkbetree_internal_t i - i0 n n0) key st0 - let (st2, _) ← - betree_node_apply_upserts_fwd (betree_list_t.Cons (k, - betree_message_t.Upsert ufs) l) v key st1 - let node0 ← - betree_internal_lookup_in_children_back (mkbetree_internal_t i - i0 n n0) key st0 - let (mkbetree_internal_t i1 i2 n1 n2) := node0 - let pending0 ← - betree_node_apply_upserts_back (betree_list_t.Cons (k, - betree_message_t.Upsert ufs) l) v key st1 - let msgs0 ← - betree_node_lookup_first_message_for_key_back key msgs pending0 - let _ ← betree_store_internal_node_fwd i1 msgs0 st2 - Result.ret (betree_node_t.Internal (mkbetree_internal_t i1 i2 n1 - n2)) - | betree_list_t.Nil => - do - let _ ← - betree_node_lookup_first_message_for_key_back key msgs - betree_list_t.Nil - let node0 ← - betree_internal_lookup_in_children_back (mkbetree_internal_t i i0 n - n0) key st0 - Result.ret (betree_node_t.Internal node0) - | betree_node_t.Leaf node => - do - let (_, bindings) ← betree_load_leaf_node_fwd node.betree_leaf_id st - let _ ← betree_node_lookup_in_bindings_fwd key bindings - Result.ret (betree_node_t.Leaf node) -termination_by betree_node_lookup_back self key st => - betree_node_lookup_terminates self key st -decreasing_by betree_node_lookup_decreases self key st - -/- [betree_main::betree::Internal::{4}::lookup_in_children] -/ -def betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : UInt64) (st : State) : - (Result (State × (Option UInt64))) - := - let (mkbetree_internal_t _ i n n0) := self - if h: key < i - then betree_node_lookup_fwd n key st - else betree_node_lookup_fwd n0 key st -termination_by betree_internal_lookup_in_children_fwd self key st => - betree_internal_lookup_in_children_terminates self key st -decreasing_by betree_internal_lookup_in_children_decreases self key st - -/- [betree_main::betree::Internal::{4}::lookup_in_children] -/ -def betree_internal_lookup_in_children_back - (self : betree_internal_t) (key : UInt64) (st : State) : - (Result betree_internal_t) - := - let (mkbetree_internal_t i i0 n n0) := self - if h: key < i0 - then - do - let n1 ← betree_node_lookup_back n key st - Result.ret (mkbetree_internal_t i i0 n1 n0) - else - do - let n1 ← betree_node_lookup_back n0 key st - Result.ret (mkbetree_internal_t i i0 n n1) -termination_by betree_internal_lookup_in_children_back self key st => - betree_internal_lookup_in_children_terminates self key st -decreasing_by betree_internal_lookup_in_children_decreases self key st - -/- [betree_main::betree::Node::{5}::lookup_mut_in_bindings] -/ -def betree_node_lookup_mut_in_bindings_fwd - (key : UInt64) (bindings : betree_list_t (UInt64 × UInt64)) : - (Result (betree_list_t (UInt64 × UInt64))) - := - match h: bindings with - | betree_list_t.Cons hd tl => - let (i, i0) := hd - if h: i >= key - then Result.ret (betree_list_t.Cons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd key tl - | betree_list_t.Nil => Result.ret betree_list_t.Nil -termination_by betree_node_lookup_mut_in_bindings_fwd key bindings => - betree_node_lookup_mut_in_bindings_terminates key bindings -decreasing_by betree_node_lookup_mut_in_bindings_decreases key bindings - -/- [betree_main::betree::Node::{5}::lookup_mut_in_bindings] -/ -def betree_node_lookup_mut_in_bindings_back - (key : UInt64) (bindings : betree_list_t (UInt64 × UInt64)) - (ret0 : betree_list_t (UInt64 × UInt64)) : - (Result (betree_list_t (UInt64 × UInt64))) - := - match h: bindings with - | betree_list_t.Cons hd tl => - let (i, i0) := hd - if h: i >= key - then Result.ret ret0 - else - do - let tl0 ← betree_node_lookup_mut_in_bindings_back key tl ret0 - Result.ret (betree_list_t.Cons (i, i0) tl0) - | betree_list_t.Nil => Result.ret ret0 -termination_by betree_node_lookup_mut_in_bindings_back key bindings ret0 => - betree_node_lookup_mut_in_bindings_terminates key bindings -decreasing_by betree_node_lookup_mut_in_bindings_decreases key bindings - -/- [betree_main::betree::Node::{5}::apply_to_leaf] -/ -def betree_node_apply_to_leaf_fwd_back - (bindings : betree_list_t (UInt64 × UInt64)) (key : UInt64) - (new_msg : betree_message_t) : - Result (betree_list_t (UInt64 × UInt64)) - := - do - let bindings0 ← betree_node_lookup_mut_in_bindings_fwd key bindings - let b ← betree_list_head_has_key_fwd UInt64 bindings0 key - if h: b - then - do - let hd ← betree_list_pop_front_fwd (UInt64 × UInt64) bindings0 - match h: new_msg with - | betree_message_t.Insert v => - do - let bindings1 ← - betree_list_pop_front_back (UInt64 × UInt64) bindings0 - let bindings2 ← - betree_list_push_front_fwd_back (UInt64 × UInt64) bindings1 - (key, v) - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - | betree_message_t.Delete => - do - let bindings1 ← - betree_list_pop_front_back (UInt64 × UInt64) bindings0 - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | betree_message_t.Upsert s => - do - let (_, i) := hd - let v ← betree_upsert_update_fwd (Option.some i) s - let bindings1 ← - betree_list_pop_front_back (UInt64 × UInt64) bindings0 - let bindings2 ← - betree_list_push_front_fwd_back (UInt64 × UInt64) bindings1 - (key, v) - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - else - match h: new_msg with - | betree_message_t.Insert v => - do - let bindings1 ← - betree_list_push_front_fwd_back (UInt64 × UInt64) bindings0 (key, - v) - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | betree_message_t.Delete => - betree_node_lookup_mut_in_bindings_back key bindings bindings0 - | betree_message_t.Upsert s => - do - let v ← betree_upsert_update_fwd Option.none s - let bindings1 ← - betree_list_push_front_fwd_back (UInt64 × UInt64) bindings0 (key, - v) - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - -/- [betree_main::betree::Node::{5}::apply_messages_to_leaf] -/ -def betree_node_apply_messages_to_leaf_fwd_back - (bindings : betree_list_t (UInt64 × UInt64)) - (new_msgs : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × UInt64))) - := - match h: new_msgs with - | betree_list_t.Cons new_msg new_msgs_tl => - do - let (i, m) := new_msg - let bindings0 ← betree_node_apply_to_leaf_fwd_back bindings i m - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl - | betree_list_t.Nil => Result.ret bindings -termination_by betree_node_apply_messages_to_leaf_fwd_back bindings new_msgs => - betree_node_apply_messages_to_leaf_terminates bindings new_msgs -decreasing_by betree_node_apply_messages_to_leaf_decreases bindings new_msgs - -/- [betree_main::betree::Node::{5}::filter_messages_for_key] -/ -def betree_node_filter_messages_for_key_fwd_back - (key : UInt64) (msgs : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - match h: msgs with - | betree_list_t.Cons p l => - let (k, m) := p - if h: k = key - then - do - let msgs0 ← - betree_list_pop_front_back (UInt64 × betree_message_t) - (betree_list_t.Cons (k, m) l) - betree_node_filter_messages_for_key_fwd_back key msgs0 - else Result.ret (betree_list_t.Cons (k, m) l) - | betree_list_t.Nil => Result.ret betree_list_t.Nil -termination_by betree_node_filter_messages_for_key_fwd_back key msgs => - betree_node_filter_messages_for_key_terminates key msgs -decreasing_by betree_node_filter_messages_for_key_decreases key msgs - -/- [betree_main::betree::Node::{5}::lookup_first_message_after_key] -/ -def betree_node_lookup_first_message_after_key_fwd - (key : UInt64) (msgs : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - match h: msgs with - | betree_list_t.Cons p next_msgs => - let (k, m) := p - if h: k = key - then betree_node_lookup_first_message_after_key_fwd key next_msgs - else Result.ret (betree_list_t.Cons (k, m) next_msgs) - | betree_list_t.Nil => Result.ret betree_list_t.Nil -termination_by betree_node_lookup_first_message_after_key_fwd key msgs => - betree_node_lookup_first_message_after_key_terminates key msgs -decreasing_by betree_node_lookup_first_message_after_key_decreases key msgs - -/- [betree_main::betree::Node::{5}::lookup_first_message_after_key] -/ -def betree_node_lookup_first_message_after_key_back - (key : UInt64) (msgs : betree_list_t (UInt64 × betree_message_t)) - (ret0 : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - match h: msgs with - | betree_list_t.Cons p next_msgs => - let (k, m) := p - if h: k = key - then - do - let next_msgs0 ← - betree_node_lookup_first_message_after_key_back key next_msgs ret0 - Result.ret (betree_list_t.Cons (k, m) next_msgs0) - else Result.ret ret0 - | betree_list_t.Nil => Result.ret ret0 -termination_by betree_node_lookup_first_message_after_key_back key msgs ret0 => - betree_node_lookup_first_message_after_key_terminates key msgs -decreasing_by betree_node_lookup_first_message_after_key_decreases key msgs - -/- [betree_main::betree::Node::{5}::apply_to_internal] -/ -def betree_node_apply_to_internal_fwd_back - (msgs : betree_list_t (UInt64 × betree_message_t)) (key : UInt64) - (new_msg : betree_message_t) : - Result (betree_list_t (UInt64 × betree_message_t)) - := - do - let msgs0 ← betree_node_lookup_first_message_for_key_fwd key msgs - let b ← betree_list_head_has_key_fwd betree_message_t msgs0 key - if h: b - then - match h: new_msg with - | betree_message_t.Insert i => - do - let msgs1 ← betree_node_filter_messages_for_key_fwd_back key msgs0 - let msgs2 ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) msgs1 - (key, betree_message_t.Insert i) - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | betree_message_t.Delete => - do - let msgs1 ← betree_node_filter_messages_for_key_fwd_back key msgs0 - let msgs2 ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) msgs1 - (key, betree_message_t.Delete) - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | betree_message_t.Upsert s => - do - let p ← betree_list_hd_fwd (UInt64 × betree_message_t) msgs0 - let (_, m) := p - match h: m with - | betree_message_t.Insert prev => - do - let v ← betree_upsert_update_fwd (Option.some prev) s - let msgs1 ← - betree_list_pop_front_back (UInt64 × betree_message_t) msgs0 - let msgs2 ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) - msgs1 (key, betree_message_t.Insert v) - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | betree_message_t.Delete => - do - let v ← betree_upsert_update_fwd Option.none s - let msgs1 ← - betree_list_pop_front_back (UInt64 × betree_message_t) msgs0 - let msgs2 ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) - msgs1 (key, betree_message_t.Insert v) - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | betree_message_t.Upsert ufs => - do - let msgs1 ← - betree_node_lookup_first_message_after_key_fwd key msgs0 - let msgs2 ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) - msgs1 (key, betree_message_t.Upsert s) - let msgs3 ← - betree_node_lookup_first_message_after_key_back key msgs0 msgs2 - betree_node_lookup_first_message_for_key_back key msgs msgs3 - else - do - let msgs1 ← - betree_list_push_front_fwd_back (UInt64 × betree_message_t) msgs0 - (key, new_msg) - betree_node_lookup_first_message_for_key_back key msgs msgs1 - -/- [betree_main::betree::Node::{5}::apply_messages_to_internal] -/ -def betree_node_apply_messages_to_internal_fwd_back - (msgs : betree_list_t (UInt64 × betree_message_t)) - (new_msgs : betree_list_t (UInt64 × betree_message_t)) : - (Result (betree_list_t (UInt64 × betree_message_t))) - := - match h: new_msgs with - | betree_list_t.Cons new_msg new_msgs_tl => - do - let (i, m) := new_msg - let msgs0 ← betree_node_apply_to_internal_fwd_back msgs i m - betree_node_apply_messages_to_internal_fwd_back msgs0 new_msgs_tl - | betree_list_t.Nil => Result.ret msgs -termination_by betree_node_apply_messages_to_internal_fwd_back msgs new_msgs => - betree_node_apply_messages_to_internal_terminates msgs new_msgs -decreasing_by betree_node_apply_messages_to_internal_decreases msgs new_msgs - -/- [betree_main::betree::Node::{5}::apply_messages] -/ -mutual def betree_node_apply_messages_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (UInt64 × betree_message_t)) (st : State) : - (Result (State × Unit)) - := - match h: self with - | betree_node_t.Internal node => - do - let (mkbetree_internal_t i i0 n n0) := node - let (st0, content) ← betree_load_internal_node_fwd i st - let content0 ← - betree_node_apply_messages_to_internal_fwd_back content msgs - let num_msgs ← - betree_list_len_fwd (UInt64 × betree_message_t) content0 - if h: num_msgs >= params.betree_params_min_flush_size - then - do - let (st1, content1) ← - betree_internal_flush_fwd (mkbetree_internal_t i i0 n n0) params - node_id_cnt content0 st0 - let (node0, _) ← - betree_internal_flush_back (mkbetree_internal_t i i0 n n0) params - node_id_cnt content0 st0 - let (mkbetree_internal_t i1 _ _ _) := node0 - let (st2, _) ← betree_store_internal_node_fwd i1 content1 st1 - Result.ret (st2, ()) - else - do - let (st1, _) ← betree_store_internal_node_fwd i content0 st0 - Result.ret (st1, ()) - | betree_node_t.Leaf node => - do - let (st0, content) ← betree_load_leaf_node_fwd node.betree_leaf_id st - let content0 ← betree_node_apply_messages_to_leaf_fwd_back content msgs - let len ← betree_list_len_fwd (UInt64 × UInt64) content0 - let i ← UInt64.checked_mul (UInt64.ofNatCore 2 (by intlit)) - params.betree_params_split_size - if h: len >= i - then - do - let (st1, _) ← - betree_leaf_split_fwd node content0 params node_id_cnt st0 - let (st2, _) ← - betree_store_leaf_node_fwd node.betree_leaf_id betree_list_t.Nil - st1 - Result.ret (st2, ()) - else - do - let (st1, _) ← - betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 - Result.ret (st1, ()) -termination_by betree_node_apply_messages_fwd self params node_id_cnt msgs st - => - betree_node_apply_messages_terminates self params node_id_cnt msgs st -decreasing_by - betree_node_apply_messages_decreases self params node_id_cnt msgs st - -/- [betree_main::betree::Node::{5}::apply_messages] -/ -def betree_node_apply_messages_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (UInt64 × betree_message_t)) (st : State) : - (Result (betree_node_t × betree_node_id_counter_t)) - := - match h: self with - | betree_node_t.Internal node => - do - let (mkbetree_internal_t i i0 n n0) := node - let (st0, content) ← betree_load_internal_node_fwd i st - let content0 ← - betree_node_apply_messages_to_internal_fwd_back content msgs - let num_msgs ← - betree_list_len_fwd (UInt64 × betree_message_t) content0 - if h: num_msgs >= params.betree_params_min_flush_size - then - do - let (st1, content1) ← - betree_internal_flush_fwd (mkbetree_internal_t i i0 n n0) params - node_id_cnt content0 st0 - let (node0, node_id_cnt0) ← - betree_internal_flush_back (mkbetree_internal_t i i0 n n0) params - node_id_cnt content0 st0 - let (mkbetree_internal_t i1 i2 n1 n2) := node0 - let _ ← betree_store_internal_node_fwd i1 content1 st1 - Result.ret (betree_node_t.Internal (mkbetree_internal_t i1 i2 n1 n2), - node_id_cnt0) - else - do - let _ ← betree_store_internal_node_fwd i content0 st0 - Result.ret (betree_node_t.Internal (mkbetree_internal_t i i0 n n0), - node_id_cnt) - | betree_node_t.Leaf node => - do - let (st0, content) ← betree_load_leaf_node_fwd node.betree_leaf_id st - let content0 ← betree_node_apply_messages_to_leaf_fwd_back content msgs - let len ← betree_list_len_fwd (UInt64 × UInt64) content0 - let i ← UInt64.checked_mul (UInt64.ofNatCore 2 (by intlit)) - params.betree_params_split_size - if h: len >= i - then - do - let (st1, new_node) ← - betree_leaf_split_fwd node content0 params node_id_cnt st0 - let _ ← - betree_store_leaf_node_fwd node.betree_leaf_id betree_list_t.Nil - st1 - let node_id_cnt0 ← - betree_leaf_split_back node content0 params node_id_cnt st0 - Result.ret (betree_node_t.Internal new_node, node_id_cnt0) - else - do - let _ ← betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 - Result.ret (betree_node_t.Leaf { node with betree_leaf_size := len }, - node_id_cnt) -termination_by betree_node_apply_messages_back self params node_id_cnt msgs st - => - betree_node_apply_messages_terminates self params node_id_cnt msgs st -decreasing_by - betree_node_apply_messages_decreases self params node_id_cnt msgs st - -/- [betree_main::betree::Internal::{4}::flush] -/ -def betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (UInt64 × betree_message_t)) (st : State) : - (Result (State × (betree_list_t (UInt64 × betree_message_t)))) - := - do - let (mkbetree_internal_t _ i n n0) := self - let p ← betree_list_partition_at_pivot_fwd betree_message_t content i - let (msgs_left, msgs_right) := p - let len_left ← betree_list_len_fwd (UInt64 × betree_message_t) msgs_left - if h: len_left >= params.betree_params_min_flush_size - then - do - let (st0, _) ← - betree_node_apply_messages_fwd n params node_id_cnt msgs_left st - let (_, node_id_cnt0) ← - betree_node_apply_messages_back n params node_id_cnt msgs_left st - let len_right ← - betree_list_len_fwd (UInt64 × betree_message_t) msgs_right - if h: len_right >= params.betree_params_min_flush_size - then - do - let (st1, _) ← - betree_node_apply_messages_fwd n0 params node_id_cnt0 msgs_right - st0 - let _ ← - betree_node_apply_messages_back n0 params node_id_cnt0 msgs_right - st0 - Result.ret (st1, betree_list_t.Nil) - else Result.ret (st0, msgs_right) - else - do - let (st0, _) ← - betree_node_apply_messages_fwd n0 params node_id_cnt msgs_right st - let _ ← - betree_node_apply_messages_back n0 params node_id_cnt msgs_right st - Result.ret (st0, msgs_left) -termination_by betree_internal_flush_fwd self params node_id_cnt content st => - betree_internal_flush_terminates self params node_id_cnt content st -decreasing_by - betree_internal_flush_decreases self params node_id_cnt content st - -/- [betree_main::betree::Internal::{4}::flush] -/ -def betree_internal_flush_back - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (UInt64 × betree_message_t)) (st : State) : - (Result (betree_internal_t × betree_node_id_counter_t)) - := - do - let (mkbetree_internal_t i i0 n n0) := self - let p ← betree_list_partition_at_pivot_fwd betree_message_t content i0 - let (msgs_left, msgs_right) := p - let len_left ← betree_list_len_fwd (UInt64 × betree_message_t) msgs_left - if h: len_left >= params.betree_params_min_flush_size - then - do - let (st0, _) ← - betree_node_apply_messages_fwd n params node_id_cnt msgs_left st - let (n1, node_id_cnt0) ← - betree_node_apply_messages_back n params node_id_cnt msgs_left st - let len_right ← - betree_list_len_fwd (UInt64 × betree_message_t) msgs_right - if h: len_right >= params.betree_params_min_flush_size - then - do - let (n2, node_id_cnt1) ← - betree_node_apply_messages_back n0 params node_id_cnt0 msgs_right - st0 - Result.ret (mkbetree_internal_t i i0 n1 n2, node_id_cnt1) - else Result.ret (mkbetree_internal_t i i0 n1 n0, node_id_cnt0) - else - do - let (n1, node_id_cnt0) ← - betree_node_apply_messages_back n0 params node_id_cnt msgs_right st - Result.ret (mkbetree_internal_t i i0 n n1, node_id_cnt0) -termination_by betree_internal_flush_back self params node_id_cnt content st => - betree_internal_flush_terminates self params node_id_cnt content st -decreasing_by - betree_internal_flush_decreases self params node_id_cnt content st - -/- [betree_main::betree::Node::{5}::apply] -/ -def betree_node_apply_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : UInt64) - (new_msg : betree_message_t) (st : State) : - Result (State × Unit) - := - do - let l := betree_list_t.Nil - let (st0, _) ← - betree_node_apply_messages_fwd self params node_id_cnt - (betree_list_t.Cons (key, new_msg) l) st - let _ ← - betree_node_apply_messages_back self params node_id_cnt - (betree_list_t.Cons (key, new_msg) l) st - Result.ret (st0, ()) - -/- [betree_main::betree::Node::{5}::apply] -/ -def betree_node_apply_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : UInt64) - (new_msg : betree_message_t) (st : State) : - Result (betree_node_t × betree_node_id_counter_t) - := - let l := betree_list_t.Nil - betree_node_apply_messages_back self params node_id_cnt (betree_list_t.Cons - (key, new_msg) l) st - -/- [betree_main::betree::BeTree::{6}::new] -/ -def betree_be_tree_new_fwd - (min_flush_size : UInt64) (split_size : UInt64) (st : State) : - Result (State × betree_be_tree_t) - := - do - let node_id_cnt ← betree_node_id_counter_new_fwd - let id ← betree_node_id_counter_fresh_id_fwd node_id_cnt - let (st0, _) ← betree_store_leaf_node_fwd id betree_list_t.Nil st - let node_id_cnt0 ← betree_node_id_counter_fresh_id_back node_id_cnt - Result.ret (st0, - { - betree_be_tree_params := - { - betree_params_min_flush_size := min_flush_size, - betree_params_split_size := split_size - }, - betree_be_tree_node_id_cnt := node_id_cnt0, - betree_be_tree_root := - (betree_node_t.Leaf - { - betree_leaf_id := id, - betree_leaf_size := (UInt64.ofNatCore 0 (by intlit)) - }) - }) - -/- [betree_main::betree::BeTree::{6}::apply] -/ -def betree_be_tree_apply_fwd - (self : betree_be_tree_t) (key : UInt64) (msg : betree_message_t) - (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st - let _ ← - betree_node_apply_back self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st - Result.ret (st0, ()) - -/- [betree_main::betree::BeTree::{6}::apply] -/ -def betree_be_tree_apply_back - (self : betree_be_tree_t) (key : UInt64) (msg : betree_message_t) - (st : State) : - Result betree_be_tree_t - := - do - let (n, nic) ← - betree_node_apply_back self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st - Result.ret - { self with betree_be_tree_node_id_cnt := nic, betree_be_tree_root := n } - -/- [betree_main::betree::BeTree::{6}::insert] -/ -def betree_be_tree_insert_fwd - (self : betree_be_tree_t) (key : UInt64) (value : UInt64) (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - betree_be_tree_apply_fwd self key (betree_message_t.Insert value) st - let _ ← - betree_be_tree_apply_back self key (betree_message_t.Insert value) st - Result.ret (st0, ()) - -/- [betree_main::betree::BeTree::{6}::insert] -/ -def betree_be_tree_insert_back - (self : betree_be_tree_t) (key : UInt64) (value : UInt64) (st : State) : - Result betree_be_tree_t - := - betree_be_tree_apply_back self key (betree_message_t.Insert value) st - -/- [betree_main::betree::BeTree::{6}::delete] -/ -def betree_be_tree_delete_fwd - (self : betree_be_tree_t) (key : UInt64) (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - betree_be_tree_apply_fwd self key betree_message_t.Delete st - let _ ← betree_be_tree_apply_back self key betree_message_t.Delete st - Result.ret (st0, ()) - -/- [betree_main::betree::BeTree::{6}::delete] -/ -def betree_be_tree_delete_back - (self : betree_be_tree_t) (key : UInt64) (st : State) : - Result betree_be_tree_t - := - betree_be_tree_apply_back self key betree_message_t.Delete st - -/- [betree_main::betree::BeTree::{6}::upsert] -/ -def betree_be_tree_upsert_fwd - (self : betree_be_tree_t) (key : UInt64) (upd : betree_upsert_fun_state_t) - (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - betree_be_tree_apply_fwd self key (betree_message_t.Upsert upd) st - let _ ← - betree_be_tree_apply_back self key (betree_message_t.Upsert upd) st - Result.ret (st0, ()) - -/- [betree_main::betree::BeTree::{6}::upsert] -/ -def betree_be_tree_upsert_back - (self : betree_be_tree_t) (key : UInt64) (upd : betree_upsert_fun_state_t) - (st : State) : - Result betree_be_tree_t - := - betree_be_tree_apply_back self key (betree_message_t.Upsert upd) st - -/- [betree_main::betree::BeTree::{6}::lookup] -/ -def betree_be_tree_lookup_fwd - (self : betree_be_tree_t) (key : UInt64) (st : State) : - Result (State × (Option UInt64)) - := - betree_node_lookup_fwd self.betree_be_tree_root key st - -/- [betree_main::betree::BeTree::{6}::lookup] -/ -def betree_be_tree_lookup_back - (self : betree_be_tree_t) (key : UInt64) (st : State) : - Result betree_be_tree_t - := - do - let n ← betree_node_lookup_back self.betree_be_tree_root key st - Result.ret { self with betree_be_tree_root := n } - -/- [betree_main::main] -/ -def main_fwd : Result Unit := - Result.ret () - -/- Unit test for [betree_main::main] -/ -#assert (main_fwd == .ret ()) - diff --git a/tests/lean/betree/BetreeMain/Opaque.lean b/tests/lean/betree/BetreeMain/Opaque.lean deleted file mode 100644 index b3db37c2..00000000 --- a/tests/lean/betree/BetreeMain/Opaque.lean +++ /dev/null @@ -1,33 +0,0 @@ --- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS --- [betree_main]: opaque function definitions -import Base.Primitives -import BetreeMain.Types - -structure OpaqueDefs where - - /- [betree_main::betree_utils::load_internal_node] -/ - betree_utils_load_internal_node_fwd - : - UInt64 -> State -> Result (State × (betree_list_t (UInt64 × - betree_message_t))) - - /- [betree_main::betree_utils::store_internal_node] -/ - betree_utils_store_internal_node_fwd - : - UInt64 -> betree_list_t (UInt64 × betree_message_t) -> State -> Result - (State × Unit) - - /- [betree_main::betree_utils::load_leaf_node] -/ - betree_utils_load_leaf_node_fwd - : UInt64 -> State -> Result (State × (betree_list_t (UInt64 × UInt64))) - - /- [betree_main::betree_utils::store_leaf_node] -/ - betree_utils_store_leaf_node_fwd - : - UInt64 -> betree_list_t (UInt64 × UInt64) -> State -> Result (State × - Unit) - - /- [core::option::Option::{0}::unwrap] -/ - core_option_option_unwrap_fwd - (T : Type) : Option T -> State -> Result (State × T) - diff --git a/tests/lean/betree/BetreeMain/Types.lean b/tests/lean/betree/BetreeMain/Types.lean deleted file mode 100644 index 32634e30..00000000 --- a/tests/lean/betree/BetreeMain/Types.lean +++ /dev/null @@ -1,55 +0,0 @@ --- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS --- [betree_main]: type definitions -import Base.Primitives - -/- [betree_main::betree::List] -/ -inductive betree_list_t (T : Type) := -| Cons : T -> betree_list_t T -> betree_list_t T -| Nil : betree_list_t T - -/- [betree_main::betree::UpsertFunState] -/ -inductive betree_upsert_fun_state_t := -| Add : UInt64 -> betree_upsert_fun_state_t -| Sub : UInt64 -> betree_upsert_fun_state_t - -/- [betree_main::betree::Message] -/ -inductive betree_message_t := -| Insert : UInt64 -> betree_message_t -| Delete : betree_message_t -| Upsert : betree_upsert_fun_state_t -> betree_message_t - -/- [betree_main::betree::Leaf] -/ -structure betree_leaf_t where - betree_leaf_id : UInt64 - betree_leaf_size : UInt64 - -/- [betree_main::betree::Node] -/ -mutual inductive betree_node_t := -| Internal : betree_internal_t -> betree_node_t -| Leaf : betree_leaf_t -> betree_node_t - -/- [betree_main::betree::Internal] -/ -inductive betree_internal_t := - betree_internal_id : UInt64 - betree_internal_pivot : UInt64 - betree_internal_left : betree_node_t - betree_internal_right : betree_node_t - -/- [betree_main::betree::Params] -/ -structure betree_params_t where - betree_params_min_flush_size : UInt64 - betree_params_split_size : UInt64 - -/- [betree_main::betree::NodeIdCounter] -/ -structure betree_node_id_counter_t where - betree_node_id_counter_next_node_id : UInt64 - -/- [betree_main::betree::BeTree] -/ -structure betree_be_tree_t where - betree_be_tree_params : betree_params_t - betree_be_tree_node_id_cnt : betree_node_id_counter_t - betree_be_tree_root : betree_node_t - -/- The state type used in the state-error monad -/ -axiom State : Type - diff --git a/tests/lean/betree/lake-manifest.json b/tests/lean/betree/lake-manifest.json deleted file mode 100644 index 57b071ca..00000000 --- a/tests/lean/betree/lake-manifest.json +++ /dev/null @@ -1,27 +0,0 @@ -{"version": 4, - "packagesDir": "./lake-packages", - "packages": - [{"git": - {"url": "https://github.com/leanprover-community/mathlib4.git", - "subDir?": null, - "rev": "4037792ead804d7bfa8868e2c4684d4223c15ece", - "name": "mathlib", - "inputRev?": null}}, - {"git": - {"url": "https://github.com/gebner/quote4", - "subDir?": null, - "rev": "2412c4fdf4a8b689f4467618e5e7b371ae5014aa", - "name": "Qq", - "inputRev?": "master"}}, - {"git": - {"url": "https://github.com/JLimperg/aesop", - "subDir?": null, - "rev": "7fe9ecd9339b0e1796e89d243b776849c305c690", - "name": "aesop", - "inputRev?": "master"}}, - {"git": - {"url": "https://github.com/leanprover/std4", - "subDir?": null, - "rev": "24897887905b3a1254b244369f5dd2cf6174b0ee", - "name": "std", - "inputRev?": "main"}}]} diff --git a/tests/lean/betree/lakefile.lean b/tests/lean/betree/lakefile.lean deleted file mode 100644 index ac2cc2d8..00000000 --- a/tests/lean/betree/lakefile.lean +++ /dev/null @@ -1,12 +0,0 @@ -import Lake -open Lake DSL - -require mathlib from git - "https://github.com/leanprover-community/mathlib4.git" - -package «betree_main» {} - -lean_lib «Base» {} - -@[default_target] -lean_lib «BetreeMain» {} diff --git a/tests/lean/betree/lean-toolchain b/tests/lean/betree/lean-toolchain deleted file mode 100644 index bbf57f10..00000000 --- a/tests/lean/betree/lean-toolchain +++ /dev/null @@ -1 +0,0 @@ -leanprover/lean4:nightly-2023-01-21 -- cgit v1.2.3