From f77e3f9cbe2ea7abeb4be815bdbf33d0c98076c2 Mon Sep 17 00:00:00 2001 From: Nadrieril Date: Mon, 27 May 2024 13:28:28 +0200 Subject: tests: Rename betree_main -> betree --- tests/fstar/betree/Betree.Clauses.Template.fst | 117 ++++ tests/fstar/betree/Betree.Clauses.fst | 210 +++++++ tests/fstar/betree/Betree.Funs.fst | 676 +++++++++++++++++++++ tests/fstar/betree/Betree.FunsExternal.fsti | 30 + tests/fstar/betree/Betree.Types.fst | 61 ++ tests/fstar/betree/Betree.TypesExternal.fsti | 10 + tests/fstar/betree/BetreeMain.Clauses.Template.fst | 117 ---- tests/fstar/betree/BetreeMain.Clauses.fst | 210 ------- tests/fstar/betree/BetreeMain.Funs.fst | 676 --------------------- tests/fstar/betree/BetreeMain.FunsExternal.fsti | 30 - tests/fstar/betree/BetreeMain.Types.fst | 61 -- tests/fstar/betree/BetreeMain.TypesExternal.fsti | 10 - 12 files changed, 1104 insertions(+), 1104 deletions(-) create mode 100644 tests/fstar/betree/Betree.Clauses.Template.fst create mode 100644 tests/fstar/betree/Betree.Clauses.fst create mode 100644 tests/fstar/betree/Betree.Funs.fst create mode 100644 tests/fstar/betree/Betree.FunsExternal.fsti create mode 100644 tests/fstar/betree/Betree.Types.fst create mode 100644 tests/fstar/betree/Betree.TypesExternal.fsti delete mode 100644 tests/fstar/betree/BetreeMain.Clauses.Template.fst delete mode 100644 tests/fstar/betree/BetreeMain.Clauses.fst delete mode 100644 tests/fstar/betree/BetreeMain.Funs.fst delete mode 100644 tests/fstar/betree/BetreeMain.FunsExternal.fsti delete mode 100644 tests/fstar/betree/BetreeMain.Types.fst delete mode 100644 tests/fstar/betree/BetreeMain.TypesExternal.fsti (limited to 'tests/fstar/betree') diff --git a/tests/fstar/betree/Betree.Clauses.Template.fst b/tests/fstar/betree/Betree.Clauses.Template.fst new file mode 100644 index 00000000..fad8c5ba --- /dev/null +++ b/tests/fstar/betree/Betree.Clauses.Template.fst @@ -0,0 +1,117 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree]: templates for the decreases clauses *) +module Betree.Clauses.Template +open Primitives +open Betree.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree::betree::{betree::betree::List#1}::len]: decreases clause + Source: 'src/betree.rs', lines 276:4-276:24 *) +unfold +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = + admit () + +(** [betree::betree::{betree::betree::List#1}::split_at]: decreases clause + Source: 'src/betree.rs', lines 284:4-284:51 *) +unfold +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) + (n : u64) : nat = + admit () + +(** [betree::betree::{betree::betree::List<(u64, T)>#2}::partition_at_pivot]: decreases clause + Source: 'src/betree.rs', lines 339:4-339:73 *) +unfold +let betree_ListPairU64T_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::lookup_first_message_for_key]: decreases clause + Source: 'src/betree.rs', lines 789:4-792:34 *) +unfold +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::lookup_in_bindings]: decreases clause + Source: 'src/betree.rs', lines 636:4-636:80 *) +unfold +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::apply_upserts]: decreases clause + Source: 'src/betree.rs', lines 819:4-819:90 *) +unfold +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) : nat = + admit () + +(** [betree::betree::{betree::betree::Internal#4}::lookup_in_children]: decreases clause + Source: 'src/betree.rs', lines 395:4-395:63 *) +unfold +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) + (key : u64) (st : state) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::lookup]: decreases clause + Source: 'src/betree.rs', lines 709:4-709:58 *) +unfold +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) + (st : state) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::filter_messages_for_key]: decreases clause + Source: 'src/betree.rs', lines 674:4-674:77 *) +unfold +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::lookup_first_message_after_key]: decreases clause + Source: 'src/betree.rs', lines 689:4-692:34 *) +unfold +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::apply_messages_to_internal]: decreases clause + Source: 'src/betree.rs', lines 502:4-505:5 *) +unfold +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::lookup_mut_in_bindings]: decreases clause + Source: 'src/betree.rs', lines 653:4-656:32 *) +unfold +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::apply_messages_to_leaf]: decreases clause + Source: 'src/betree.rs', lines 444:4-447:5 *) +unfold +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree::betree::{betree::betree::Internal#4}::flush]: decreases clause + Source: 'src/betree.rs', lines 410:4-415:26 *) +unfold +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = + admit () + +(** [betree::betree::{betree::betree::Node#5}::apply_messages]: decreases clause + Source: 'src/betree.rs', lines 588:4-593:5 *) +unfold +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = + admit () + diff --git a/tests/fstar/betree/Betree.Clauses.fst b/tests/fstar/betree/Betree.Clauses.fst new file mode 100644 index 00000000..ae201cee --- /dev/null +++ b/tests/fstar/betree/Betree.Clauses.fst @@ -0,0 +1,210 @@ +(** [betree_main]: templates for the decreases clauses *) +module Betree.Clauses +open Primitives +open Betree.Types + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(*** Well-founded relations *) + +(* We had a few issues when proving termination of the mutually recursive functions: + * - betree_Internal_flush + * - betree_Node_apply_messages + * + * The quantity which effectively decreases is: + * (betree_size, messages_length) + * where messages_length is 0 when there are no messages + * (and where we use the lexicographic ordering, of course) + * + * However, the `%[...]` and `{:well-founded ...} notations are not available outside + * of `decrease` clauses. + * + * We thus resorted to writing and proving correct a well-founded relation over + * pairs of natural numbers. The trick is that `<<` can be used outside of decrease + * clauses, and can be used to trigger SMT patterns. + * + * What follows is adapted from: + * https://www.fstar-lang.org/tutorial/book/part2/part2_well_founded.html + * + * Also, the following PR might make things easier: + * https://github.com/FStarLang/FStar/pull/2561 + *) + +module P = FStar.Preorder +module W = FStar.WellFounded +module L = FStar.LexicographicOrdering + +let lt_nat (x y:nat) : Type = x < y == true +let rec wf_lt_nat (x:nat) + : W.acc lt_nat x + = W.AccIntro (fun y _ -> wf_lt_nat y) + +// A type abbreviation for a pair of nats +let nat_pair = (x:nat & nat) + +// Making a lexicographic ordering from a pair of nat ordering +let lex_order_nat_pair : P.relation nat_pair = + L.lex_t lt_nat (fun _ -> lt_nat) + +// The lex order on nat pairs is well-founded, using our general proof +// of lexicographic composition of well-founded orders +let lex_order_nat_pair_wf : W.well_founded lex_order_nat_pair = + L.lex_t_wf wf_lt_nat (fun _ -> wf_lt_nat) + +// A utility to introduce lt_nat +let mk_lt_nat (x:nat) (y:nat { x < y }) : lt_nat x y = + let _ : equals (x < y) true = Refl in + () + +// A utility to make a lex ordering of nat pairs +let mk_lex_order_nat_pair (xy0:nat_pair) + (xy1:nat_pair { + let (|x0, y0|) = xy0 in + let (|x1, y1|) = xy1 in + x0 < x1 \/ (x0 == x1 /\ y0 < y1) + }) : lex_order_nat_pair xy0 xy1 = + let (|x0, y0|) = xy0 in + let (|x1, y1|) = xy1 in + if x0 < x1 then L.Left_lex x0 x1 y0 y1 (mk_lt_nat x0 x1) + else L.Right_lex x0 y0 y1 (mk_lt_nat y0 y1) + +let rec coerce #a #r #x (p:W.acc #a r x) : Tot (W.acc r x) (decreases p) = + W.AccIntro (fun y r -> coerce (p.access_smaller y r)) + +let coerce_wf #a #r (p: (x:a -> W.acc r x)) : x:a -> W.acc r x = + fun x -> coerce (p x) + +(* We need this axiom, which comes from the following discussion: + * https://github.com/FStarLang/FStar/issues/1916 + * An issue here is that the `{well-founded ... }` notation + *) +assume +val axiom_well_founded (a : Type) (rel : a -> a -> Type0) + (rwf : W.well_founded #a rel) (x y : a) : + Lemma (requires (rel x y)) (ensures (x << y)) + +(* This lemma has a pattern (which makes it work) *) +let wf_nat_pair_lem (p0 p1 : nat_pair) : + Lemma + (requires ( + let (|x0, y0|) = p0 in + let (|x1, y1|) = p1 in + x0 < x1 || (x0 = x1 && y0 < y1))) + (ensures (p0 << p1)) + [SMTPat (p0 << p1)] = + let rel = lex_order_nat_pair in + let rel_wf = lex_order_nat_pair_wf in + let _ = mk_lex_order_nat_pair p0 p1 in + assert(rel p0 p1); + axiom_well_founded nat_pair rel rel_wf p0 p1 + +(*** Decrease clauses *) +/// "Standard" decrease clauses + +(** [betree_main::betree::List::{1}::len]: decreases clause *) +unfold +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : betree_List_t t = + self + +(** [betree_main::betree::List::{1}::split_at]: decreases clause *) +unfold +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) + (n : u64) : nat = + n + +(** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) +unfold +let betree_ListPairU64T_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : betree_List_t (u64 & t) = + self + +(** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) +unfold +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = + bindings + +(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) +unfold +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + msgs + +(** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) +unfold +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) : betree_List_t (u64 & betree_Message_t) = + msgs + +(** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) +unfold +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) + (key : u64) (st : state) : betree_Internal_t = + self + +(** [betree_main::betree::Node::{5}::lookup]: decreases clause *) +unfold +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) + (st : state) : betree_Node_t = + self + +(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) +unfold +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = + bindings + +unfold +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + new_msgs + +(** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) +unfold +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + msgs + +(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) +unfold +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + msgs + +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + new_msgs + +(*** Decrease clauses - nat_pair *) +/// The following decrease clauses use the [nat_pair] definition and the well-founded +/// relation proven above. + +let rec betree_size (bt : betree_Node_t) : nat = + match bt with + | Betree_Node_Internal node -> 1 + betree_Internal_size node + | Betree_Node_Leaf _ -> 1 + +and betree_Internal_size (node : betree_Internal_t) : nat = + 1 + betree_size node.left + betree_size node.right + +let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = + match ls with + | Betree_List_Cons _ tl -> 1 + betree_List_len tl + | Betree_List_Nil -> 0 + +(** [betree_main::betree::Internal::{4}::flush]: decreases clause *) +unfold +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_Internal_size self, 0|) + +(** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) +unfold +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_size self, betree_List_len msgs|) diff --git a/tests/fstar/betree/Betree.Funs.fst b/tests/fstar/betree/Betree.Funs.fst new file mode 100644 index 00000000..07f561f5 --- /dev/null +++ b/tests/fstar/betree/Betree.Funs.fst @@ -0,0 +1,676 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree]: function definitions *) +module Betree.Funs +open Primitives +include Betree.Types +include Betree.FunsExternal +include Betree.Clauses + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree::betree::load_internal_node]: + Source: 'src/betree.rs', lines 36:0-36:52 *) +let betree_load_internal_node + (id : u64) (st : state) : + result (state & (betree_List_t (u64 & betree_Message_t))) + = + betree_utils_load_internal_node id st + +(** [betree::betree::store_internal_node]: + Source: 'src/betree.rs', lines 41:0-41:60 *) +let betree_store_internal_node + (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + result (state & unit) + = + betree_utils_store_internal_node id content st + +(** [betree::betree::load_leaf_node]: + Source: 'src/betree.rs', lines 46:0-46:44 *) +let betree_load_leaf_node + (id : u64) (st : state) : result (state & (betree_List_t (u64 & u64))) = + betree_utils_load_leaf_node id st + +(** [betree::betree::store_leaf_node]: + Source: 'src/betree.rs', lines 51:0-51:52 *) +let betree_store_leaf_node + (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : + result (state & unit) + = + betree_utils_store_leaf_node id content st + +(** [betree::betree::fresh_node_id]: + Source: 'src/betree.rs', lines 55:0-55:48 *) +let betree_fresh_node_id (counter : u64) : result (u64 & u64) = + let* counter1 = u64_add counter 1 in Ok (counter, counter1) + +(** [betree::betree::{betree::betree::NodeIdCounter}::new]: + Source: 'src/betree.rs', lines 206:4-206:20 *) +let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = + Ok { next_node_id = 0 } + +(** [betree::betree::{betree::betree::NodeIdCounter}::fresh_id]: + Source: 'src/betree.rs', lines 210:4-210:36 *) +let betree_NodeIdCounter_fresh_id + (self : betree_NodeIdCounter_t) : result (u64 & betree_NodeIdCounter_t) = + let* i = u64_add self.next_node_id 1 in + Ok (self.next_node_id, { next_node_id = i }) + +(** [betree::betree::upsert_update]: + Source: 'src/betree.rs', lines 234:0-234:70 *) +let betree_upsert_update + (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = + begin match prev with + | None -> + begin match st with + | Betree_UpsertFunState_Add v -> Ok v + | Betree_UpsertFunState_Sub _ -> Ok 0 + end + | Some prev1 -> + begin match st with + | Betree_UpsertFunState_Add v -> + let* margin = u64_sub core_u64_max prev1 in + if margin >= v then u64_add prev1 v else Ok core_u64_max + | Betree_UpsertFunState_Sub v -> + if prev1 >= v then u64_sub prev1 v else Ok 0 + end + end + +(** [betree::betree::{betree::betree::List#1}::len]: + Source: 'src/betree.rs', lines 276:4-276:24 *) +let rec betree_List_len + (t : Type0) (self : betree_List_t t) : + Tot (result u64) (decreases (betree_List_len_decreases t self)) + = + begin match self with + | Betree_List_Cons _ tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Nil -> Ok 0 + end + +(** [betree::betree::{betree::betree::List#1}::split_at]: + Source: 'src/betree.rs', lines 284:4-284:51 *) +let rec betree_List_split_at + (t : Type0) (self : betree_List_t t) (n : u64) : + Tot (result ((betree_List_t t) & (betree_List_t t))) + (decreases (betree_List_split_at_decreases t self n)) + = + if n = 0 + then Ok (Betree_List_Nil, self) + else + begin match self with + | Betree_List_Cons hd tl -> + let* i = u64_sub n 1 in + let* p = betree_List_split_at t tl i in + let (ls0, ls1) = p in + Ok (Betree_List_Cons hd ls0, ls1) + | Betree_List_Nil -> Fail Failure + end + +(** [betree::betree::{betree::betree::List#1}::push_front]: + Source: 'src/betree.rs', lines 299:4-299:34 *) +let betree_List_push_front + (t : Type0) (self : betree_List_t t) (x : t) : result (betree_List_t t) = + let (tl, _) = core_mem_replace (betree_List_t t) self Betree_List_Nil in + Ok (Betree_List_Cons x tl) + +(** [betree::betree::{betree::betree::List#1}::pop_front]: + Source: 'src/betree.rs', lines 306:4-306:32 *) +let betree_List_pop_front + (t : Type0) (self : betree_List_t t) : result (t & (betree_List_t t)) = + let (ls, _) = core_mem_replace (betree_List_t t) self Betree_List_Nil in + begin match ls with + | Betree_List_Cons x tl -> Ok (x, tl) + | Betree_List_Nil -> Fail Failure + end + +(** [betree::betree::{betree::betree::List#1}::hd]: + Source: 'src/betree.rs', lines 318:4-318:22 *) +let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = + begin match self with + | Betree_List_Cons hd _ -> Ok hd + | Betree_List_Nil -> Fail Failure + end + +(** [betree::betree::{betree::betree::List<(u64, T)>#2}::head_has_key]: + Source: 'src/betree.rs', lines 327:4-327:44 *) +let betree_ListPairU64T_head_has_key + (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = + begin match self with + | Betree_List_Cons hd _ -> let (i, _) = hd in Ok (i = key) + | Betree_List_Nil -> Ok false + end + +(** [betree::betree::{betree::betree::List<(u64, T)>#2}::partition_at_pivot]: + Source: 'src/betree.rs', lines 339:4-339:73 *) +let rec betree_ListPairU64T_partition_at_pivot + (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : + Tot (result ((betree_List_t (u64 & t)) & (betree_List_t (u64 & t)))) + (decreases (betree_ListPairU64T_partition_at_pivot_decreases t self pivot)) + = + begin match self with + | Betree_List_Cons hd tl -> + let (i, x) = hd in + if i >= pivot + then Ok (Betree_List_Nil, Betree_List_Cons (i, x) tl) + else + let* p = betree_ListPairU64T_partition_at_pivot t tl pivot in + let (ls0, ls1) = p in + Ok (Betree_List_Cons (i, x) ls0, ls1) + | Betree_List_Nil -> Ok (Betree_List_Nil, Betree_List_Nil) + end + +(** [betree::betree::{betree::betree::Leaf#3}::split]: + Source: 'src/betree.rs', lines 359:4-364:17 *) +let betree_Leaf_split + (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (st : state) : + result (state & (betree_Internal_t & betree_NodeIdCounter_t)) + = + let* p = betree_List_split_at (u64 & u64) content params.split_size in + let (content0, content1) = p in + let* p1 = betree_List_hd (u64 & u64) content1 in + let (pivot, _) = p1 in + let* (id0, node_id_cnt1) = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (id1, node_id_cnt2) = betree_NodeIdCounter_fresh_id node_id_cnt1 in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* (st2, _) = betree_store_leaf_node id1 content1 st1 in + let n = Betree_Node_Leaf { id = id0; size = params.split_size } in + let n1 = Betree_Node_Leaf { id = id1; size = params.split_size } in + Ok (st2, ({ id = self.id; pivot = pivot; left = n; right = n1 }, + node_id_cnt2)) + +(** [betree::betree::{betree::betree::Node#5}::lookup_first_message_for_key]: + Source: 'src/betree.rs', lines 789:4-792:34 *) +let rec betree_Node_lookup_first_message_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & + betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons x next_msgs -> + let (i, m) = x in + if i >= key + then Ok (Betree_List_Cons (i, m) next_msgs, Ok) + else + let* (l, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key next_msgs in + let back = + fun ret -> + let* next_msgs1 = lookup_first_message_for_key_back ret in + Ok (Betree_List_Cons (i, m) next_msgs1) in + Ok (l, back) + | Betree_List_Nil -> Ok (Betree_List_Nil, Ok) + end + +(** [betree::betree::{betree::betree::Node#5}::lookup_in_bindings]: + Source: 'src/betree.rs', lines 636:4-636:80 *) +let rec betree_Node_lookup_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : + Tot (result (option u64)) + (decreases (betree_Node_lookup_in_bindings_decreases key bindings)) + = + begin match bindings with + | Betree_List_Cons hd tl -> + let (i, i1) = hd in + if i = key + then Ok (Some i1) + else if i > key then Ok None else betree_Node_lookup_in_bindings key tl + | Betree_List_Nil -> Ok None + end + +(** [betree::betree::{betree::betree::Node#5}::apply_upserts]: + Source: 'src/betree.rs', lines 819:4-819:90 *) +let rec betree_Node_apply_upserts + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) : + Tot (result (u64 & (betree_List_t (u64 & betree_Message_t)))) + (decreases (betree_Node_apply_upserts_decreases msgs prev key)) + = + let* b = betree_ListPairU64T_head_has_key betree_Message_t msgs key in + if b + then + let* (msg, msgs1) = betree_List_pop_front (u64 & betree_Message_t) msgs in + let (_, m) = msg in + begin match m with + | Betree_Message_Insert _ -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + betree_Node_apply_upserts msgs1 (Some v) key + end + else + let* v = core_option_Option_unwrap u64 prev in + let* msgs1 = + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in + Ok (v, msgs1) + +(** [betree::betree::{betree::betree::Internal#4}::lookup_in_children]: + Source: 'src/betree.rs', lines 395:4-395:63 *) +let rec betree_Internal_lookup_in_children + (self : betree_Internal_t) (key : u64) (st : state) : + Tot (result (state & ((option u64) & betree_Internal_t))) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) + = + if key < self.pivot + then + let* (st1, (o, n)) = betree_Node_lookup self.left key st in + Ok (st1, (o, { self with left = n })) + else + let* (st1, (o, n)) = betree_Node_lookup self.right key st in + Ok (st1, (o, { self with right = n })) + +(** [betree::betree::{betree::betree::Node#5}::lookup]: + Source: 'src/betree.rs', lines 709:4-709:58 *) +and betree_Node_lookup + (self : betree_Node_t) (key : u64) (st : state) : + Tot (result (state & ((option u64) & betree_Node_t))) + (decreases (betree_Node_lookup_decreases self key st)) + = + begin match self with + | Betree_Node_Internal node -> + let* (st1, msgs) = betree_load_internal_node node.id st in + let* (pending, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key msgs in + begin match pending with + | Betree_List_Cons p l -> + let (k, msg) = p in + if k <> key + then + let* (st2, (o, node1)) = + betree_Internal_lookup_in_children node key st1 in + let* _ = + lookup_first_message_for_key_back (Betree_List_Cons (k, msg) l) in + Ok (st2, (o, Betree_Node_Internal node1)) + else + begin match msg with + | Betree_Message_Insert v -> + let* _ = + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Insert v) l) in + Ok (st1, (Some v, Betree_Node_Internal node)) + | Betree_Message_Delete -> + let* _ = + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Delete) l) in + Ok (st1, (None, Betree_Node_Internal node)) + | Betree_Message_Upsert ufs -> + let* (st2, (v, node1)) = + betree_Internal_lookup_in_children node key st1 in + let* (v1, pending1) = + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key in + let* msgs1 = lookup_first_message_for_key_back pending1 in + let* (st3, _) = betree_store_internal_node node1.id msgs1 st2 in + Ok (st3, (Some v1, Betree_Node_Internal node1)) + end + | Betree_List_Nil -> + let* (st2, (o, node1)) = betree_Internal_lookup_in_children node key st1 + in + let* _ = lookup_first_message_for_key_back Betree_List_Nil in + Ok (st2, (o, Betree_Node_Internal node1)) + end + | Betree_Node_Leaf node -> + let* (st1, bindings) = betree_load_leaf_node node.id st in + let* o = betree_Node_lookup_in_bindings key bindings in + Ok (st1, (o, Betree_Node_Leaf node)) + end + +(** [betree::betree::{betree::betree::Node#5}::filter_messages_for_key]: + Source: 'src/betree.rs', lines 674:4-674:77 *) +let rec betree_Node_filter_messages_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_filter_messages_for_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons p l -> + let (k, m) = p in + if k = key + then + let* (_, msgs1) = + betree_List_pop_front (u64 & betree_Message_t) (Betree_List_Cons (k, m) + l) in + betree_Node_filter_messages_for_key key msgs1 + else Ok (Betree_List_Cons (k, m) l) + | Betree_List_Nil -> Ok Betree_List_Nil + end + +(** [betree::betree::{betree::betree::Node#5}::lookup_first_message_after_key]: + Source: 'src/betree.rs', lines 689:4-692:34 *) +let rec betree_Node_lookup_first_message_after_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & + betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons p next_msgs -> + let (k, m) = p in + if k = key + then + let* (l, lookup_first_message_after_key_back) = + betree_Node_lookup_first_message_after_key key next_msgs in + let back = + fun ret -> + let* next_msgs1 = lookup_first_message_after_key_back ret in + Ok (Betree_List_Cons (k, m) next_msgs1) in + Ok (l, back) + else Ok (Betree_List_Cons (k, m) next_msgs, Ok) + | Betree_List_Nil -> Ok (Betree_List_Nil, Ok) + end + +(** [betree::betree::{betree::betree::Node#5}::apply_to_internal]: + Source: 'src/betree.rs', lines 521:4-521:89 *) +let betree_Node_apply_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & betree_Message_t)) + = + let* (msgs1, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key msgs in + let* b = betree_ListPairU64T_head_has_key betree_Message_t msgs1 key in + if b + then + begin match new_msg with + | Betree_Message_Insert i -> + let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Insert i) in + lookup_first_message_for_key_back msgs3 + | Betree_Message_Delete -> + let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Delete) in + lookup_first_message_for_key_back msgs3 + | Betree_Message_Upsert s -> + let* p = betree_List_hd (u64 & betree_Message_t) msgs1 in + let (_, m) = p in + begin match m with + | Betree_Message_Insert prev -> + let* v = betree_upsert_update (Some prev) s in + let* (_, msgs2) = betree_List_pop_front (u64 & betree_Message_t) msgs1 + in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Insert v) in + lookup_first_message_for_key_back msgs3 + | Betree_Message_Delete -> + let* (_, msgs2) = betree_List_pop_front (u64 & betree_Message_t) msgs1 + in + let* v = betree_upsert_update None s in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Insert v) in + lookup_first_message_for_key_back msgs3 + | Betree_Message_Upsert _ -> + let* (msgs2, lookup_first_message_after_key_back) = + betree_Node_lookup_first_message_after_key key msgs1 in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Upsert s) in + let* msgs4 = lookup_first_message_after_key_back msgs3 in + lookup_first_message_for_key_back msgs4 + end + end + else + let* msgs2 = + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in + lookup_first_message_for_key_back msgs2 + +(** [betree::betree::{betree::betree::Node#5}::apply_messages_to_internal]: + Source: 'src/betree.rs', lines 502:4-505:5 *) +let rec betree_Node_apply_messages_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_messages_to_internal_decreases msgs new_msgs)) + = + begin match new_msgs with + | Betree_List_Cons new_msg new_msgs_tl -> + let (i, m) = new_msg in + let* msgs1 = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal msgs1 new_msgs_tl + | Betree_List_Nil -> Ok msgs + end + +(** [betree::betree::{betree::betree::Node#5}::lookup_mut_in_bindings]: + Source: 'src/betree.rs', lines 653:4-656:32 *) +let rec betree_Node_lookup_mut_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : + Tot (result ((betree_List_t (u64 & u64)) & (betree_List_t (u64 & u64) -> + result (betree_List_t (u64 & u64))))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) + = + begin match bindings with + | Betree_List_Cons hd tl -> + let (i, i1) = hd in + if i >= key + then Ok (Betree_List_Cons (i, i1) tl, Ok) + else + let* (l, lookup_mut_in_bindings_back) = + betree_Node_lookup_mut_in_bindings key tl in + let back = + fun ret -> + let* tl1 = lookup_mut_in_bindings_back ret in + Ok (Betree_List_Cons (i, i1) tl1) in + Ok (l, back) + | Betree_List_Nil -> Ok (Betree_List_Nil, Ok) + end + +(** [betree::betree::{betree::betree::Node#5}::apply_to_leaf]: + Source: 'src/betree.rs', lines 460:4-460:87 *) +let betree_Node_apply_to_leaf + (bindings : betree_List_t (u64 & u64)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & u64)) + = + let* (bindings1, lookup_mut_in_bindings_back) = + betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_ListPairU64T_head_has_key u64 bindings1 key in + if b + then + let* (hd, bindings2) = betree_List_pop_front (u64 & u64) bindings1 in + begin match new_msg with + | Betree_Message_Insert v -> + let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in + lookup_mut_in_bindings_back bindings3 + | Betree_Message_Delete -> lookup_mut_in_bindings_back bindings2 + | Betree_Message_Upsert s -> + let (_, i) = hd in + let* v = betree_upsert_update (Some i) s in + let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in + lookup_mut_in_bindings_back bindings3 + end + else + begin match new_msg with + | Betree_Message_Insert v -> + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + lookup_mut_in_bindings_back bindings2 + | Betree_Message_Delete -> lookup_mut_in_bindings_back bindings1 + | Betree_Message_Upsert s -> + let* v = betree_upsert_update None s in + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + lookup_mut_in_bindings_back bindings2 + end + +(** [betree::betree::{betree::betree::Node#5}::apply_messages_to_leaf]: + Source: 'src/betree.rs', lines 444:4-447:5 *) +let rec betree_Node_apply_messages_to_leaf + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_apply_messages_to_leaf_decreases bindings new_msgs)) + = + begin match new_msgs with + | Betree_List_Cons new_msg new_msgs_tl -> + let (i, m) = new_msg in + let* bindings1 = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf bindings1 new_msgs_tl + | Betree_List_Nil -> Ok bindings + end + +(** [betree::betree::{betree::betree::Internal#4}::flush]: + Source: 'src/betree.rs', lines 410:4-415:26 *) +let rec betree_Internal_flush + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (state & ((betree_List_t (u64 & betree_Message_t)) & + (betree_Internal_t & betree_NodeIdCounter_t)))) + (decreases ( + betree_Internal_flush_decreases self params node_id_cnt content st)) + = + let* p = + betree_ListPairU64T_partition_at_pivot betree_Message_t content self.pivot + in + let (msgs_left, msgs_right) = p in + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size + then + let* (st1, p1) = + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in + let (n, node_id_cnt1) = p1 in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size + then + let* (st2, p2) = + betree_Node_apply_messages self.right params node_id_cnt1 msgs_right + st1 in + let (n1, node_id_cnt2) = p2 in + Ok (st2, (Betree_List_Nil, ({ self with left = n; right = n1 }, + node_id_cnt2))) + else Ok (st1, (msgs_right, ({ self with left = n }, node_id_cnt1))) + else + let* (st1, p1) = + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in + let (n, node_id_cnt1) = p1 in + Ok (st1, (msgs_left, ({ self with right = n }, node_id_cnt1))) + +(** [betree::betree::{betree::betree::Node#5}::apply_messages]: + Source: 'src/betree.rs', lines 588:4-593:5 *) +and betree_Node_apply_messages + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (state & (betree_Node_t & betree_NodeIdCounter_t))) + (decreases ( + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) + = + begin match self with + | Betree_Node_Internal node -> + let* (st1, content) = betree_load_internal_node node.id st in + let* content1 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content1 in + if num_msgs >= params.min_flush_size + then + let* (st2, (content2, p)) = + betree_Internal_flush node params node_id_cnt content1 st1 in + let (node1, node_id_cnt1) = p in + let* (st3, _) = betree_store_internal_node node1.id content2 st2 in + Ok (st3, (Betree_Node_Internal node1, node_id_cnt1)) + else + let* (st2, _) = betree_store_internal_node node.id content1 st1 in + Ok (st2, (Betree_Node_Internal node, node_id_cnt)) + | Betree_Node_Leaf node -> + let* (st1, content) = betree_load_leaf_node node.id st in + let* content1 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content1 in + let* i = u64_mul 2 params.split_size in + if len >= i + then + let* (st2, (new_node, node_id_cnt1)) = + betree_Leaf_split node content1 params node_id_cnt st1 in + let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in + Ok (st3, (Betree_Node_Internal new_node, node_id_cnt1)) + else + let* (st2, _) = betree_store_leaf_node node.id content1 st1 in + Ok (st2, (Betree_Node_Leaf { node with size = len }, node_id_cnt)) + end + +(** [betree::betree::{betree::betree::Node#5}::apply]: + Source: 'src/betree.rs', lines 576:4-582:5 *) +let betree_Node_apply + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) : + result (state & (betree_Node_t & betree_NodeIdCounter_t)) + = + let* (st1, p) = + betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, + new_msg) Betree_List_Nil) st in + let (self1, node_id_cnt1) = p in + Ok (st1, (self1, node_id_cnt1)) + +(** [betree::betree::{betree::betree::BeTree#6}::new]: + Source: 'src/betree.rs', lines 849:4-849:60 *) +let betree_BeTree_new + (min_flush_size : u64) (split_size : u64) (st : state) : + result (state & betree_BeTree_t) + = + let* node_id_cnt = betree_NodeIdCounter_new in + let* (id, node_id_cnt1) = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in + Ok (st1, + { + params = { min_flush_size = min_flush_size; split_size = split_size }; + node_id_cnt = node_id_cnt1; + root = (Betree_Node_Leaf { id = id; size = 0 }) + }) + +(** [betree::betree::{betree::betree::BeTree#6}::apply]: + Source: 'src/betree.rs', lines 868:4-868:47 *) +let betree_BeTree_apply + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : + result (state & betree_BeTree_t) + = + let* (st1, p) = + betree_Node_apply self.root self.params self.node_id_cnt key msg st in + let (n, nic) = p in + Ok (st1, { self with node_id_cnt = nic; root = n }) + +(** [betree::betree::{betree::betree::BeTree#6}::insert]: + Source: 'src/betree.rs', lines 874:4-874:52 *) +let betree_BeTree_insert + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : + result (state & betree_BeTree_t) + = + betree_BeTree_apply self key (Betree_Message_Insert value) st + +(** [betree::betree::{betree::betree::BeTree#6}::delete]: + Source: 'src/betree.rs', lines 880:4-880:38 *) +let betree_BeTree_delete + (self : betree_BeTree_t) (key : u64) (st : state) : + result (state & betree_BeTree_t) + = + betree_BeTree_apply self key Betree_Message_Delete st + +(** [betree::betree::{betree::betree::BeTree#6}::upsert]: + Source: 'src/betree.rs', lines 886:4-886:59 *) +let betree_BeTree_upsert + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) + (st : state) : + result (state & betree_BeTree_t) + = + betree_BeTree_apply self key (Betree_Message_Upsert upd) st + +(** [betree::betree::{betree::betree::BeTree#6}::lookup]: + Source: 'src/betree.rs', lines 895:4-895:62 *) +let betree_BeTree_lookup + (self : betree_BeTree_t) (key : u64) (st : state) : + result (state & ((option u64) & betree_BeTree_t)) + = + let* (st1, (o, n)) = betree_Node_lookup self.root key st in + Ok (st1, (o, { self with root = n })) + +(** [betree::main]: + Source: 'src/main.rs', lines 4:0-4:9 *) +let main : result unit = + Ok () + +(** Unit test for [betree::main] *) +let _ = assert_norm (main = Ok ()) + diff --git a/tests/fstar/betree/Betree.FunsExternal.fsti b/tests/fstar/betree/Betree.FunsExternal.fsti new file mode 100644 index 00000000..db96eead --- /dev/null +++ b/tests/fstar/betree/Betree.FunsExternal.fsti @@ -0,0 +1,30 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree]: external function declarations *) +module Betree.FunsExternal +open Primitives +include Betree.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree::betree_utils::load_internal_node]: + Source: 'src/betree_utils.rs', lines 98:0-98:63 *) +val betree_utils_load_internal_node + : u64 -> state -> result (state & (betree_List_t (u64 & betree_Message_t))) + +(** [betree::betree_utils::store_internal_node]: + Source: 'src/betree_utils.rs', lines 115:0-115:71 *) +val betree_utils_store_internal_node + : + u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & + unit) + +(** [betree::betree_utils::load_leaf_node]: + Source: 'src/betree_utils.rs', lines 132:0-132:55 *) +val betree_utils_load_leaf_node + : u64 -> state -> result (state & (betree_List_t (u64 & u64))) + +(** [betree::betree_utils::store_leaf_node]: + Source: 'src/betree_utils.rs', lines 145:0-145:63 *) +val betree_utils_store_leaf_node + : u64 -> betree_List_t (u64 & u64) -> state -> result (state & unit) + diff --git a/tests/fstar/betree/Betree.Types.fst b/tests/fstar/betree/Betree.Types.fst new file mode 100644 index 00000000..6b8e063b --- /dev/null +++ b/tests/fstar/betree/Betree.Types.fst @@ -0,0 +1,61 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree]: type definitions *) +module Betree.Types +open Primitives +include Betree.TypesExternal + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree::betree::List] + Source: 'src/betree.rs', lines 17:0-17:23 *) +type betree_List_t (t : Type0) = +| Betree_List_Cons : t -> betree_List_t t -> betree_List_t t +| Betree_List_Nil : betree_List_t t + +(** [betree::betree::UpsertFunState] + Source: 'src/betree.rs', lines 63:0-63:23 *) +type betree_UpsertFunState_t = +| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t +| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t + +(** [betree::betree::Message] + Source: 'src/betree.rs', lines 69:0-69:23 *) +type betree_Message_t = +| Betree_Message_Insert : u64 -> betree_Message_t +| Betree_Message_Delete : betree_Message_t +| Betree_Message_Upsert : betree_UpsertFunState_t -> betree_Message_t + +(** [betree::betree::Leaf] + Source: 'src/betree.rs', lines 167:0-167:11 *) +type betree_Leaf_t = { id : u64; size : u64; } + +(** [betree::betree::Internal] + Source: 'src/betree.rs', lines 156:0-156:15 *) +type betree_Internal_t = +{ + id : u64; pivot : u64; left : betree_Node_t; right : betree_Node_t; +} + +(** [betree::betree::Node] + Source: 'src/betree.rs', lines 179:0-179:9 *) +and betree_Node_t = +| Betree_Node_Internal : betree_Internal_t -> betree_Node_t +| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t + +(** [betree::betree::Params] + Source: 'src/betree.rs', lines 187:0-187:13 *) +type betree_Params_t = { min_flush_size : u64; split_size : u64; } + +(** [betree::betree::NodeIdCounter] + Source: 'src/betree.rs', lines 201:0-201:20 *) +type betree_NodeIdCounter_t = { next_node_id : u64; } + +(** [betree::betree::BeTree] + Source: 'src/betree.rs', lines 218:0-218:17 *) +type betree_BeTree_t = +{ + params : betree_Params_t; + node_id_cnt : betree_NodeIdCounter_t; + root : betree_Node_t; +} + diff --git a/tests/fstar/betree/Betree.TypesExternal.fsti b/tests/fstar/betree/Betree.TypesExternal.fsti new file mode 100644 index 00000000..39e53ec9 --- /dev/null +++ b/tests/fstar/betree/Betree.TypesExternal.fsti @@ -0,0 +1,10 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree]: external type declarations *) +module Betree.TypesExternal +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** The state type used in the state-error monad *) +val state : Type0 + diff --git a/tests/fstar/betree/BetreeMain.Clauses.Template.fst b/tests/fstar/betree/BetreeMain.Clauses.Template.fst deleted file mode 100644 index b317dca4..00000000 --- a/tests/fstar/betree/BetreeMain.Clauses.Template.fst +++ /dev/null @@ -1,117 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: templates for the decreases clauses *) -module BetreeMain.Clauses.Template -open Primitives -open BetreeMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree::{betree_main::betree::List#1}::len]: decreases clause - Source: 'src/betree.rs', lines 276:4-276:24 *) -unfold -let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::List#1}::split_at]: decreases clause - Source: 'src/betree.rs', lines 284:4-284:51 *) -unfold -let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) - (n : u64) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: decreases clause - Source: 'src/betree.rs', lines 339:4-339:73 *) -unfold -let betree_ListPairU64T_partition_at_pivot_decreases (t : Type0) - (self : betree_List_t (u64 & t)) (pivot : u64) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: decreases clause - Source: 'src/betree.rs', lines 789:4-792:34 *) -unfold -let betree_Node_lookup_first_message_for_key_decreases (key : u64) - (msgs : betree_List_t (u64 & betree_Message_t)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: decreases clause - Source: 'src/betree.rs', lines 636:4-636:80 *) -unfold -let betree_Node_lookup_in_bindings_decreases (key : u64) - (bindings : betree_List_t (u64 & u64)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: decreases clause - Source: 'src/betree.rs', lines 819:4-819:90 *) -unfold -let betree_Node_apply_upserts_decreases - (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) - (key : u64) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: decreases clause - Source: 'src/betree.rs', lines 395:4-395:63 *) -unfold -let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) - (key : u64) (st : state) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: decreases clause - Source: 'src/betree.rs', lines 709:4-709:58 *) -unfold -let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) - (st : state) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: decreases clause - Source: 'src/betree.rs', lines 674:4-674:77 *) -unfold -let betree_Node_filter_messages_for_key_decreases (key : u64) - (msgs : betree_List_t (u64 & betree_Message_t)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: decreases clause - Source: 'src/betree.rs', lines 689:4-692:34 *) -unfold -let betree_Node_lookup_first_message_after_key_decreases (key : u64) - (msgs : betree_List_t (u64 & betree_Message_t)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: decreases clause - Source: 'src/betree.rs', lines 502:4-505:5 *) -unfold -let betree_Node_apply_messages_to_internal_decreases - (msgs : betree_List_t (u64 & betree_Message_t)) - (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: decreases clause - Source: 'src/betree.rs', lines 653:4-656:32 *) -unfold -let betree_Node_lookup_mut_in_bindings_decreases (key : u64) - (bindings : betree_List_t (u64 & u64)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: decreases clause - Source: 'src/betree.rs', lines 444:4-447:5 *) -unfold -let betree_Node_apply_messages_to_leaf_decreases - (bindings : betree_List_t (u64 & u64)) - (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: decreases clause - Source: 'src/betree.rs', lines 410:4-415:26 *) -unfold -let betree_Internal_flush_decreases (self : betree_Internal_t) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = - admit () - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: decreases clause - Source: 'src/betree.rs', lines 588:4-593:5 *) -unfold -let betree_Node_apply_messages_decreases (self : betree_Node_t) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = - admit () - diff --git a/tests/fstar/betree/BetreeMain.Clauses.fst b/tests/fstar/betree/BetreeMain.Clauses.fst deleted file mode 100644 index b95d4c7e..00000000 --- a/tests/fstar/betree/BetreeMain.Clauses.fst +++ /dev/null @@ -1,210 +0,0 @@ -(** [betree_main]: templates for the decreases clauses *) -module BetreeMain.Clauses -open Primitives -open BetreeMain.Types - -#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" - -(*** Well-founded relations *) - -(* We had a few issues when proving termination of the mutually recursive functions: - * - betree_Internal_flush - * - betree_Node_apply_messages - * - * The quantity which effectively decreases is: - * (betree_size, messages_length) - * where messages_length is 0 when there are no messages - * (and where we use the lexicographic ordering, of course) - * - * However, the `%[...]` and `{:well-founded ...} notations are not available outside - * of `decrease` clauses. - * - * We thus resorted to writing and proving correct a well-founded relation over - * pairs of natural numbers. The trick is that `<<` can be used outside of decrease - * clauses, and can be used to trigger SMT patterns. - * - * What follows is adapted from: - * https://www.fstar-lang.org/tutorial/book/part2/part2_well_founded.html - * - * Also, the following PR might make things easier: - * https://github.com/FStarLang/FStar/pull/2561 - *) - -module P = FStar.Preorder -module W = FStar.WellFounded -module L = FStar.LexicographicOrdering - -let lt_nat (x y:nat) : Type = x < y == true -let rec wf_lt_nat (x:nat) - : W.acc lt_nat x - = W.AccIntro (fun y _ -> wf_lt_nat y) - -// A type abbreviation for a pair of nats -let nat_pair = (x:nat & nat) - -// Making a lexicographic ordering from a pair of nat ordering -let lex_order_nat_pair : P.relation nat_pair = - L.lex_t lt_nat (fun _ -> lt_nat) - -// The lex order on nat pairs is well-founded, using our general proof -// of lexicographic composition of well-founded orders -let lex_order_nat_pair_wf : W.well_founded lex_order_nat_pair = - L.lex_t_wf wf_lt_nat (fun _ -> wf_lt_nat) - -// A utility to introduce lt_nat -let mk_lt_nat (x:nat) (y:nat { x < y }) : lt_nat x y = - let _ : equals (x < y) true = Refl in - () - -// A utility to make a lex ordering of nat pairs -let mk_lex_order_nat_pair (xy0:nat_pair) - (xy1:nat_pair { - let (|x0, y0|) = xy0 in - let (|x1, y1|) = xy1 in - x0 < x1 \/ (x0 == x1 /\ y0 < y1) - }) : lex_order_nat_pair xy0 xy1 = - let (|x0, y0|) = xy0 in - let (|x1, y1|) = xy1 in - if x0 < x1 then L.Left_lex x0 x1 y0 y1 (mk_lt_nat x0 x1) - else L.Right_lex x0 y0 y1 (mk_lt_nat y0 y1) - -let rec coerce #a #r #x (p:W.acc #a r x) : Tot (W.acc r x) (decreases p) = - W.AccIntro (fun y r -> coerce (p.access_smaller y r)) - -let coerce_wf #a #r (p: (x:a -> W.acc r x)) : x:a -> W.acc r x = - fun x -> coerce (p x) - -(* We need this axiom, which comes from the following discussion: - * https://github.com/FStarLang/FStar/issues/1916 - * An issue here is that the `{well-founded ... }` notation - *) -assume -val axiom_well_founded (a : Type) (rel : a -> a -> Type0) - (rwf : W.well_founded #a rel) (x y : a) : - Lemma (requires (rel x y)) (ensures (x << y)) - -(* This lemma has a pattern (which makes it work) *) -let wf_nat_pair_lem (p0 p1 : nat_pair) : - Lemma - (requires ( - let (|x0, y0|) = p0 in - let (|x1, y1|) = p1 in - x0 < x1 || (x0 = x1 && y0 < y1))) - (ensures (p0 << p1)) - [SMTPat (p0 << p1)] = - let rel = lex_order_nat_pair in - let rel_wf = lex_order_nat_pair_wf in - let _ = mk_lex_order_nat_pair p0 p1 in - assert(rel p0 p1); - axiom_well_founded nat_pair rel rel_wf p0 p1 - -(*** Decrease clauses *) -/// "Standard" decrease clauses - -(** [betree_main::betree::List::{1}::len]: decreases clause *) -unfold -let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : betree_List_t t = - self - -(** [betree_main::betree::List::{1}::split_at]: decreases clause *) -unfold -let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) - (n : u64) : nat = - n - -(** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) -unfold -let betree_ListPairU64T_partition_at_pivot_decreases (t : Type0) - (self : betree_List_t (u64 & t)) (pivot : u64) : betree_List_t (u64 & t) = - self - -(** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) -unfold -let betree_Node_lookup_in_bindings_decreases (key : u64) - (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = - bindings - -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) -unfold -let betree_Node_lookup_first_message_for_key_decreases (key : u64) - (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = - msgs - -(** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) -unfold -let betree_Node_apply_upserts_decreases - (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) - (key : u64) : betree_List_t (u64 & betree_Message_t) = - msgs - -(** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) -unfold -let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) - (key : u64) (st : state) : betree_Internal_t = - self - -(** [betree_main::betree::Node::{5}::lookup]: decreases clause *) -unfold -let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) - (st : state) : betree_Node_t = - self - -(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) -unfold -let betree_Node_lookup_mut_in_bindings_decreases (key : u64) - (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = - bindings - -unfold -let betree_Node_apply_messages_to_leaf_decreases - (bindings : betree_List_t (u64 & u64)) - (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = - new_msgs - -(** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) -unfold -let betree_Node_filter_messages_for_key_decreases (key : u64) - (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = - msgs - -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) -unfold -let betree_Node_lookup_first_message_after_key_decreases (key : u64) - (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = - msgs - -let betree_Node_apply_messages_to_internal_decreases - (msgs : betree_List_t (u64 & betree_Message_t)) - (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = - new_msgs - -(*** Decrease clauses - nat_pair *) -/// The following decrease clauses use the [nat_pair] definition and the well-founded -/// relation proven above. - -let rec betree_size (bt : betree_Node_t) : nat = - match bt with - | Betree_Node_Internal node -> 1 + betree_Internal_size node - | Betree_Node_Leaf _ -> 1 - -and betree_Internal_size (node : betree_Internal_t) : nat = - 1 + betree_size node.left + betree_size node.right - -let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = - match ls with - | Betree_List_Cons _ tl -> 1 + betree_List_len tl - | Betree_List_Nil -> 0 - -(** [betree_main::betree::Internal::{4}::flush]: decreases clause *) -unfold -let betree_Internal_flush_decreases (self : betree_Internal_t) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = - (|betree_Internal_size self, 0|) - -(** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) -unfold -let betree_Node_apply_messages_decreases (self : betree_Node_t) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = - (|betree_size self, betree_List_len msgs|) diff --git a/tests/fstar/betree/BetreeMain.Funs.fst b/tests/fstar/betree/BetreeMain.Funs.fst deleted file mode 100644 index 9942ef68..00000000 --- a/tests/fstar/betree/BetreeMain.Funs.fst +++ /dev/null @@ -1,676 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: function definitions *) -module BetreeMain.Funs -open Primitives -include BetreeMain.Types -include BetreeMain.FunsExternal -include BetreeMain.Clauses - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree::load_internal_node]: - Source: 'src/betree.rs', lines 36:0-36:52 *) -let betree_load_internal_node - (id : u64) (st : state) : - result (state & (betree_List_t (u64 & betree_Message_t))) - = - betree_utils_load_internal_node id st - -(** [betree_main::betree::store_internal_node]: - Source: 'src/betree.rs', lines 41:0-41:60 *) -let betree_store_internal_node - (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : - result (state & unit) - = - betree_utils_store_internal_node id content st - -(** [betree_main::betree::load_leaf_node]: - Source: 'src/betree.rs', lines 46:0-46:44 *) -let betree_load_leaf_node - (id : u64) (st : state) : result (state & (betree_List_t (u64 & u64))) = - betree_utils_load_leaf_node id st - -(** [betree_main::betree::store_leaf_node]: - Source: 'src/betree.rs', lines 51:0-51:52 *) -let betree_store_leaf_node - (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : - result (state & unit) - = - betree_utils_store_leaf_node id content st - -(** [betree_main::betree::fresh_node_id]: - Source: 'src/betree.rs', lines 55:0-55:48 *) -let betree_fresh_node_id (counter : u64) : result (u64 & u64) = - let* counter1 = u64_add counter 1 in Ok (counter, counter1) - -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: - Source: 'src/betree.rs', lines 206:4-206:20 *) -let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = - Ok { next_node_id = 0 } - -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: - Source: 'src/betree.rs', lines 210:4-210:36 *) -let betree_NodeIdCounter_fresh_id - (self : betree_NodeIdCounter_t) : result (u64 & betree_NodeIdCounter_t) = - let* i = u64_add self.next_node_id 1 in - Ok (self.next_node_id, { next_node_id = i }) - -(** [betree_main::betree::upsert_update]: - Source: 'src/betree.rs', lines 234:0-234:70 *) -let betree_upsert_update - (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = - begin match prev with - | None -> - begin match st with - | Betree_UpsertFunState_Add v -> Ok v - | Betree_UpsertFunState_Sub _ -> Ok 0 - end - | Some prev1 -> - begin match st with - | Betree_UpsertFunState_Add v -> - let* margin = u64_sub core_u64_max prev1 in - if margin >= v then u64_add prev1 v else Ok core_u64_max - | Betree_UpsertFunState_Sub v -> - if prev1 >= v then u64_sub prev1 v else Ok 0 - end - end - -(** [betree_main::betree::{betree_main::betree::List#1}::len]: - Source: 'src/betree.rs', lines 276:4-276:24 *) -let rec betree_List_len - (t : Type0) (self : betree_List_t t) : - Tot (result u64) (decreases (betree_List_len_decreases t self)) - = - begin match self with - | Betree_List_Cons _ tl -> let* i = betree_List_len t tl in u64_add 1 i - | Betree_List_Nil -> Ok 0 - end - -(** [betree_main::betree::{betree_main::betree::List#1}::split_at]: - Source: 'src/betree.rs', lines 284:4-284:51 *) -let rec betree_List_split_at - (t : Type0) (self : betree_List_t t) (n : u64) : - Tot (result ((betree_List_t t) & (betree_List_t t))) - (decreases (betree_List_split_at_decreases t self n)) - = - if n = 0 - then Ok (Betree_List_Nil, self) - else - begin match self with - | Betree_List_Cons hd tl -> - let* i = u64_sub n 1 in - let* p = betree_List_split_at t tl i in - let (ls0, ls1) = p in - Ok (Betree_List_Cons hd ls0, ls1) - | Betree_List_Nil -> Fail Failure - end - -(** [betree_main::betree::{betree_main::betree::List#1}::push_front]: - Source: 'src/betree.rs', lines 299:4-299:34 *) -let betree_List_push_front - (t : Type0) (self : betree_List_t t) (x : t) : result (betree_List_t t) = - let (tl, _) = core_mem_replace (betree_List_t t) self Betree_List_Nil in - Ok (Betree_List_Cons x tl) - -(** [betree_main::betree::{betree_main::betree::List#1}::pop_front]: - Source: 'src/betree.rs', lines 306:4-306:32 *) -let betree_List_pop_front - (t : Type0) (self : betree_List_t t) : result (t & (betree_List_t t)) = - let (ls, _) = core_mem_replace (betree_List_t t) self Betree_List_Nil in - begin match ls with - | Betree_List_Cons x tl -> Ok (x, tl) - | Betree_List_Nil -> Fail Failure - end - -(** [betree_main::betree::{betree_main::betree::List#1}::hd]: - Source: 'src/betree.rs', lines 318:4-318:22 *) -let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = - begin match self with - | Betree_List_Cons hd _ -> Ok hd - | Betree_List_Nil -> Fail Failure - end - -(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: - Source: 'src/betree.rs', lines 327:4-327:44 *) -let betree_ListPairU64T_head_has_key - (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = - begin match self with - | Betree_List_Cons hd _ -> let (i, _) = hd in Ok (i = key) - | Betree_List_Nil -> Ok false - end - -(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: - Source: 'src/betree.rs', lines 339:4-339:73 *) -let rec betree_ListPairU64T_partition_at_pivot - (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : - Tot (result ((betree_List_t (u64 & t)) & (betree_List_t (u64 & t)))) - (decreases (betree_ListPairU64T_partition_at_pivot_decreases t self pivot)) - = - begin match self with - | Betree_List_Cons hd tl -> - let (i, x) = hd in - if i >= pivot - then Ok (Betree_List_Nil, Betree_List_Cons (i, x) tl) - else - let* p = betree_ListPairU64T_partition_at_pivot t tl pivot in - let (ls0, ls1) = p in - Ok (Betree_List_Cons (i, x) ls0, ls1) - | Betree_List_Nil -> Ok (Betree_List_Nil, Betree_List_Nil) - end - -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: - Source: 'src/betree.rs', lines 359:4-364:17 *) -let betree_Leaf_split - (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (st : state) : - result (state & (betree_Internal_t & betree_NodeIdCounter_t)) - = - let* p = betree_List_split_at (u64 & u64) content params.split_size in - let (content0, content1) = p in - let* p1 = betree_List_hd (u64 & u64) content1 in - let (pivot, _) = p1 in - let* (id0, node_id_cnt1) = betree_NodeIdCounter_fresh_id node_id_cnt in - let* (id1, node_id_cnt2) = betree_NodeIdCounter_fresh_id node_id_cnt1 in - let* (st1, _) = betree_store_leaf_node id0 content0 st in - let* (st2, _) = betree_store_leaf_node id1 content1 st1 in - let n = Betree_Node_Leaf { id = id0; size = params.split_size } in - let n1 = Betree_Node_Leaf { id = id1; size = params.split_size } in - Ok (st2, ({ id = self.id; pivot = pivot; left = n; right = n1 }, - node_id_cnt2)) - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: - Source: 'src/betree.rs', lines 789:4-792:34 *) -let rec betree_Node_lookup_first_message_for_key - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & - betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) - (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons x next_msgs -> - let (i, m) = x in - if i >= key - then Ok (Betree_List_Cons (i, m) next_msgs, Ok) - else - let* (l, lookup_first_message_for_key_back) = - betree_Node_lookup_first_message_for_key key next_msgs in - let back = - fun ret -> - let* next_msgs1 = lookup_first_message_for_key_back ret in - Ok (Betree_List_Cons (i, m) next_msgs1) in - Ok (l, back) - | Betree_List_Nil -> Ok (Betree_List_Nil, Ok) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: - Source: 'src/betree.rs', lines 636:4-636:80 *) -let rec betree_Node_lookup_in_bindings - (key : u64) (bindings : betree_List_t (u64 & u64)) : - Tot (result (option u64)) - (decreases (betree_Node_lookup_in_bindings_decreases key bindings)) - = - begin match bindings with - | Betree_List_Cons hd tl -> - let (i, i1) = hd in - if i = key - then Ok (Some i1) - else if i > key then Ok None else betree_Node_lookup_in_bindings key tl - | Betree_List_Nil -> Ok None - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: - Source: 'src/betree.rs', lines 819:4-819:90 *) -let rec betree_Node_apply_upserts - (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) - (key : u64) : - Tot (result (u64 & (betree_List_t (u64 & betree_Message_t)))) - (decreases (betree_Node_apply_upserts_decreases msgs prev key)) - = - let* b = betree_ListPairU64T_head_has_key betree_Message_t msgs key in - if b - then - let* (msg, msgs1) = betree_List_pop_front (u64 & betree_Message_t) msgs in - let (_, m) = msg in - begin match m with - | Betree_Message_Insert _ -> Fail Failure - | Betree_Message_Delete -> Fail Failure - | Betree_Message_Upsert s -> - let* v = betree_upsert_update prev s in - betree_Node_apply_upserts msgs1 (Some v) key - end - else - let* v = core_option_Option_unwrap u64 prev in - let* msgs1 = - betree_List_push_front (u64 & betree_Message_t) msgs (key, - Betree_Message_Insert v) in - Ok (v, msgs1) - -(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: - Source: 'src/betree.rs', lines 395:4-395:63 *) -let rec betree_Internal_lookup_in_children - (self : betree_Internal_t) (key : u64) (st : state) : - Tot (result (state & ((option u64) & betree_Internal_t))) - (decreases (betree_Internal_lookup_in_children_decreases self key st)) - = - if key < self.pivot - then - let* (st1, (o, n)) = betree_Node_lookup self.left key st in - Ok (st1, (o, { self with left = n })) - else - let* (st1, (o, n)) = betree_Node_lookup self.right key st in - Ok (st1, (o, { self with right = n })) - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: - Source: 'src/betree.rs', lines 709:4-709:58 *) -and betree_Node_lookup - (self : betree_Node_t) (key : u64) (st : state) : - Tot (result (state & ((option u64) & betree_Node_t))) - (decreases (betree_Node_lookup_decreases self key st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st1, msgs) = betree_load_internal_node node.id st in - let* (pending, lookup_first_message_for_key_back) = - betree_Node_lookup_first_message_for_key key msgs in - begin match pending with - | Betree_List_Cons p l -> - let (k, msg) = p in - if k <> key - then - let* (st2, (o, node1)) = - betree_Internal_lookup_in_children node key st1 in - let* _ = - lookup_first_message_for_key_back (Betree_List_Cons (k, msg) l) in - Ok (st2, (o, Betree_Node_Internal node1)) - else - begin match msg with - | Betree_Message_Insert v -> - let* _ = - lookup_first_message_for_key_back (Betree_List_Cons (k, - Betree_Message_Insert v) l) in - Ok (st1, (Some v, Betree_Node_Internal node)) - | Betree_Message_Delete -> - let* _ = - lookup_first_message_for_key_back (Betree_List_Cons (k, - Betree_Message_Delete) l) in - Ok (st1, (None, Betree_Node_Internal node)) - | Betree_Message_Upsert ufs -> - let* (st2, (v, node1)) = - betree_Internal_lookup_in_children node key st1 in - let* (v1, pending1) = - betree_Node_apply_upserts (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key in - let* msgs1 = lookup_first_message_for_key_back pending1 in - let* (st3, _) = betree_store_internal_node node1.id msgs1 st2 in - Ok (st3, (Some v1, Betree_Node_Internal node1)) - end - | Betree_List_Nil -> - let* (st2, (o, node1)) = betree_Internal_lookup_in_children node key st1 - in - let* _ = lookup_first_message_for_key_back Betree_List_Nil in - Ok (st2, (o, Betree_Node_Internal node1)) - end - | Betree_Node_Leaf node -> - let* (st1, bindings) = betree_load_leaf_node node.id st in - let* o = betree_Node_lookup_in_bindings key bindings in - Ok (st1, (o, Betree_Node_Leaf node)) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: - Source: 'src/betree.rs', lines 674:4-674:77 *) -let rec betree_Node_filter_messages_for_key - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_filter_messages_for_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons p l -> - let (k, m) = p in - if k = key - then - let* (_, msgs1) = - betree_List_pop_front (u64 & betree_Message_t) (Betree_List_Cons (k, m) - l) in - betree_Node_filter_messages_for_key key msgs1 - else Ok (Betree_List_Cons (k, m) l) - | Betree_List_Nil -> Ok Betree_List_Nil - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: - Source: 'src/betree.rs', lines 689:4-692:34 *) -let rec betree_Node_lookup_first_message_after_key - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & - betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) - (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons p next_msgs -> - let (k, m) = p in - if k = key - then - let* (l, lookup_first_message_after_key_back) = - betree_Node_lookup_first_message_after_key key next_msgs in - let back = - fun ret -> - let* next_msgs1 = lookup_first_message_after_key_back ret in - Ok (Betree_List_Cons (k, m) next_msgs1) in - Ok (l, back) - else Ok (Betree_List_Cons (k, m) next_msgs, Ok) - | Betree_List_Nil -> Ok (Betree_List_Nil, Ok) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_internal]: - Source: 'src/betree.rs', lines 521:4-521:89 *) -let betree_Node_apply_to_internal - (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) - (new_msg : betree_Message_t) : - result (betree_List_t (u64 & betree_Message_t)) - = - let* (msgs1, lookup_first_message_for_key_back) = - betree_Node_lookup_first_message_for_key key msgs in - let* b = betree_ListPairU64T_head_has_key betree_Message_t msgs1 key in - if b - then - begin match new_msg with - | Betree_Message_Insert i -> - let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in - let* msgs3 = - betree_List_push_front (u64 & betree_Message_t) msgs2 (key, - Betree_Message_Insert i) in - lookup_first_message_for_key_back msgs3 - | Betree_Message_Delete -> - let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in - let* msgs3 = - betree_List_push_front (u64 & betree_Message_t) msgs2 (key, - Betree_Message_Delete) in - lookup_first_message_for_key_back msgs3 - | Betree_Message_Upsert s -> - let* p = betree_List_hd (u64 & betree_Message_t) msgs1 in - let (_, m) = p in - begin match m with - | Betree_Message_Insert prev -> - let* v = betree_upsert_update (Some prev) s in - let* (_, msgs2) = betree_List_pop_front (u64 & betree_Message_t) msgs1 - in - let* msgs3 = - betree_List_push_front (u64 & betree_Message_t) msgs2 (key, - Betree_Message_Insert v) in - lookup_first_message_for_key_back msgs3 - | Betree_Message_Delete -> - let* (_, msgs2) = betree_List_pop_front (u64 & betree_Message_t) msgs1 - in - let* v = betree_upsert_update None s in - let* msgs3 = - betree_List_push_front (u64 & betree_Message_t) msgs2 (key, - Betree_Message_Insert v) in - lookup_first_message_for_key_back msgs3 - | Betree_Message_Upsert _ -> - let* (msgs2, lookup_first_message_after_key_back) = - betree_Node_lookup_first_message_after_key key msgs1 in - let* msgs3 = - betree_List_push_front (u64 & betree_Message_t) msgs2 (key, - Betree_Message_Upsert s) in - let* msgs4 = lookup_first_message_after_key_back msgs3 in - lookup_first_message_for_key_back msgs4 - end - end - else - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in - lookup_first_message_for_key_back msgs2 - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: - Source: 'src/betree.rs', lines 502:4-505:5 *) -let rec betree_Node_apply_messages_to_internal - (msgs : betree_List_t (u64 & betree_Message_t)) - (new_msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_apply_messages_to_internal_decreases msgs new_msgs)) - = - begin match new_msgs with - | Betree_List_Cons new_msg new_msgs_tl -> - let (i, m) = new_msg in - let* msgs1 = betree_Node_apply_to_internal msgs i m in - betree_Node_apply_messages_to_internal msgs1 new_msgs_tl - | Betree_List_Nil -> Ok msgs - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: - Source: 'src/betree.rs', lines 653:4-656:32 *) -let rec betree_Node_lookup_mut_in_bindings - (key : u64) (bindings : betree_List_t (u64 & u64)) : - Tot (result ((betree_List_t (u64 & u64)) & (betree_List_t (u64 & u64) -> - result (betree_List_t (u64 & u64))))) - (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) - = - begin match bindings with - | Betree_List_Cons hd tl -> - let (i, i1) = hd in - if i >= key - then Ok (Betree_List_Cons (i, i1) tl, Ok) - else - let* (l, lookup_mut_in_bindings_back) = - betree_Node_lookup_mut_in_bindings key tl in - let back = - fun ret -> - let* tl1 = lookup_mut_in_bindings_back ret in - Ok (Betree_List_Cons (i, i1) tl1) in - Ok (l, back) - | Betree_List_Nil -> Ok (Betree_List_Nil, Ok) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_leaf]: - Source: 'src/betree.rs', lines 460:4-460:87 *) -let betree_Node_apply_to_leaf - (bindings : betree_List_t (u64 & u64)) (key : u64) - (new_msg : betree_Message_t) : - result (betree_List_t (u64 & u64)) - = - let* (bindings1, lookup_mut_in_bindings_back) = - betree_Node_lookup_mut_in_bindings key bindings in - let* b = betree_ListPairU64T_head_has_key u64 bindings1 key in - if b - then - let* (hd, bindings2) = betree_List_pop_front (u64 & u64) bindings1 in - begin match new_msg with - | Betree_Message_Insert v -> - let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in - lookup_mut_in_bindings_back bindings3 - | Betree_Message_Delete -> lookup_mut_in_bindings_back bindings2 - | Betree_Message_Upsert s -> - let (_, i) = hd in - let* v = betree_upsert_update (Some i) s in - let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in - lookup_mut_in_bindings_back bindings3 - end - else - begin match new_msg with - | Betree_Message_Insert v -> - let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in - lookup_mut_in_bindings_back bindings2 - | Betree_Message_Delete -> lookup_mut_in_bindings_back bindings1 - | Betree_Message_Upsert s -> - let* v = betree_upsert_update None s in - let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in - lookup_mut_in_bindings_back bindings2 - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: - Source: 'src/betree.rs', lines 444:4-447:5 *) -let rec betree_Node_apply_messages_to_leaf - (bindings : betree_List_t (u64 & u64)) - (new_msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & u64))) - (decreases (betree_Node_apply_messages_to_leaf_decreases bindings new_msgs)) - = - begin match new_msgs with - | Betree_List_Cons new_msg new_msgs_tl -> - let (i, m) = new_msg in - let* bindings1 = betree_Node_apply_to_leaf bindings i m in - betree_Node_apply_messages_to_leaf bindings1 new_msgs_tl - | Betree_List_Nil -> Ok bindings - end - -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: - Source: 'src/betree.rs', lines 410:4-415:26 *) -let rec betree_Internal_flush - (self : betree_Internal_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (state & ((betree_List_t (u64 & betree_Message_t)) & - (betree_Internal_t & betree_NodeIdCounter_t)))) - (decreases ( - betree_Internal_flush_decreases self params node_id_cnt content st)) - = - let* p = - betree_ListPairU64T_partition_at_pivot betree_Message_t content self.pivot - in - let (msgs_left, msgs_right) = p in - let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in - if len_left >= params.min_flush_size - then - let* (st1, p1) = - betree_Node_apply_messages self.left params node_id_cnt msgs_left st in - let (n, node_id_cnt1) = p1 in - let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in - if len_right >= params.min_flush_size - then - let* (st2, p2) = - betree_Node_apply_messages self.right params node_id_cnt1 msgs_right - st1 in - let (n1, node_id_cnt2) = p2 in - Ok (st2, (Betree_List_Nil, ({ self with left = n; right = n1 }, - node_id_cnt2))) - else Ok (st1, (msgs_right, ({ self with left = n }, node_id_cnt1))) - else - let* (st1, p1) = - betree_Node_apply_messages self.right params node_id_cnt msgs_right st in - let (n, node_id_cnt1) = p1 in - Ok (st1, (msgs_left, ({ self with right = n }, node_id_cnt1))) - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: - Source: 'src/betree.rs', lines 588:4-593:5 *) -and betree_Node_apply_messages - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (state & (betree_Node_t & betree_NodeIdCounter_t))) - (decreases ( - betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st1, content) = betree_load_internal_node node.id st in - let* content1 = betree_Node_apply_messages_to_internal content msgs in - let* num_msgs = betree_List_len (u64 & betree_Message_t) content1 in - if num_msgs >= params.min_flush_size - then - let* (st2, (content2, p)) = - betree_Internal_flush node params node_id_cnt content1 st1 in - let (node1, node_id_cnt1) = p in - let* (st3, _) = betree_store_internal_node node1.id content2 st2 in - Ok (st3, (Betree_Node_Internal node1, node_id_cnt1)) - else - let* (st2, _) = betree_store_internal_node node.id content1 st1 in - Ok (st2, (Betree_Node_Internal node, node_id_cnt)) - | Betree_Node_Leaf node -> - let* (st1, content) = betree_load_leaf_node node.id st in - let* content1 = betree_Node_apply_messages_to_leaf content msgs in - let* len = betree_List_len (u64 & u64) content1 in - let* i = u64_mul 2 params.split_size in - if len >= i - then - let* (st2, (new_node, node_id_cnt1)) = - betree_Leaf_split node content1 params node_id_cnt st1 in - let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in - Ok (st3, (Betree_Node_Internal new_node, node_id_cnt1)) - else - let* (st2, _) = betree_store_leaf_node node.id content1 st1 in - Ok (st2, (Betree_Node_Leaf { node with size = len }, node_id_cnt)) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: - Source: 'src/betree.rs', lines 576:4-582:5 *) -let betree_Node_apply - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) (key : u64) - (new_msg : betree_Message_t) (st : state) : - result (state & (betree_Node_t & betree_NodeIdCounter_t)) - = - let* (st1, p) = - betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, - new_msg) Betree_List_Nil) st in - let (self1, node_id_cnt1) = p in - Ok (st1, (self1, node_id_cnt1)) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: - Source: 'src/betree.rs', lines 849:4-849:60 *) -let betree_BeTree_new - (min_flush_size : u64) (split_size : u64) (st : state) : - result (state & betree_BeTree_t) - = - let* node_id_cnt = betree_NodeIdCounter_new in - let* (id, node_id_cnt1) = betree_NodeIdCounter_fresh_id node_id_cnt in - let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in - Ok (st1, - { - params = { min_flush_size = min_flush_size; split_size = split_size }; - node_id_cnt = node_id_cnt1; - root = (Betree_Node_Leaf { id = id; size = 0 }) - }) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: - Source: 'src/betree.rs', lines 868:4-868:47 *) -let betree_BeTree_apply - (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : - result (state & betree_BeTree_t) - = - let* (st1, p) = - betree_Node_apply self.root self.params self.node_id_cnt key msg st in - let (n, nic) = p in - Ok (st1, { self with node_id_cnt = nic; root = n }) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: - Source: 'src/betree.rs', lines 874:4-874:52 *) -let betree_BeTree_insert - (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : - result (state & betree_BeTree_t) - = - betree_BeTree_apply self key (Betree_Message_Insert value) st - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: - Source: 'src/betree.rs', lines 880:4-880:38 *) -let betree_BeTree_delete - (self : betree_BeTree_t) (key : u64) (st : state) : - result (state & betree_BeTree_t) - = - betree_BeTree_apply self key Betree_Message_Delete st - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: - Source: 'src/betree.rs', lines 886:4-886:59 *) -let betree_BeTree_upsert - (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) - (st : state) : - result (state & betree_BeTree_t) - = - betree_BeTree_apply self key (Betree_Message_Upsert upd) st - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: - Source: 'src/betree.rs', lines 895:4-895:62 *) -let betree_BeTree_lookup - (self : betree_BeTree_t) (key : u64) (st : state) : - result (state & ((option u64) & betree_BeTree_t)) - = - let* (st1, (o, n)) = betree_Node_lookup self.root key st in - Ok (st1, (o, { self with root = n })) - -(** [betree_main::main]: - Source: 'src/main.rs', lines 4:0-4:9 *) -let main : result unit = - Ok () - -(** Unit test for [betree_main::main] *) -let _ = assert_norm (main = Ok ()) - diff --git a/tests/fstar/betree/BetreeMain.FunsExternal.fsti b/tests/fstar/betree/BetreeMain.FunsExternal.fsti deleted file mode 100644 index 8be98acf..00000000 --- a/tests/fstar/betree/BetreeMain.FunsExternal.fsti +++ /dev/null @@ -1,30 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: external function declarations *) -module BetreeMain.FunsExternal -open Primitives -include BetreeMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree_utils::load_internal_node]: - Source: 'src/betree_utils.rs', lines 98:0-98:63 *) -val betree_utils_load_internal_node - : u64 -> state -> result (state & (betree_List_t (u64 & betree_Message_t))) - -(** [betree_main::betree_utils::store_internal_node]: - Source: 'src/betree_utils.rs', lines 115:0-115:71 *) -val betree_utils_store_internal_node - : - u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & - unit) - -(** [betree_main::betree_utils::load_leaf_node]: - Source: 'src/betree_utils.rs', lines 132:0-132:55 *) -val betree_utils_load_leaf_node - : u64 -> state -> result (state & (betree_List_t (u64 & u64))) - -(** [betree_main::betree_utils::store_leaf_node]: - Source: 'src/betree_utils.rs', lines 145:0-145:63 *) -val betree_utils_store_leaf_node - : u64 -> betree_List_t (u64 & u64) -> state -> result (state & unit) - diff --git a/tests/fstar/betree/BetreeMain.Types.fst b/tests/fstar/betree/BetreeMain.Types.fst deleted file mode 100644 index b87219b2..00000000 --- a/tests/fstar/betree/BetreeMain.Types.fst +++ /dev/null @@ -1,61 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: type definitions *) -module BetreeMain.Types -open Primitives -include BetreeMain.TypesExternal - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree::List] - Source: 'src/betree.rs', lines 17:0-17:23 *) -type betree_List_t (t : Type0) = -| Betree_List_Cons : t -> betree_List_t t -> betree_List_t t -| Betree_List_Nil : betree_List_t t - -(** [betree_main::betree::UpsertFunState] - Source: 'src/betree.rs', lines 63:0-63:23 *) -type betree_UpsertFunState_t = -| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t -| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t - -(** [betree_main::betree::Message] - Source: 'src/betree.rs', lines 69:0-69:23 *) -type betree_Message_t = -| Betree_Message_Insert : u64 -> betree_Message_t -| Betree_Message_Delete : betree_Message_t -| Betree_Message_Upsert : betree_UpsertFunState_t -> betree_Message_t - -(** [betree_main::betree::Leaf] - Source: 'src/betree.rs', lines 167:0-167:11 *) -type betree_Leaf_t = { id : u64; size : u64; } - -(** [betree_main::betree::Internal] - Source: 'src/betree.rs', lines 156:0-156:15 *) -type betree_Internal_t = -{ - id : u64; pivot : u64; left : betree_Node_t; right : betree_Node_t; -} - -(** [betree_main::betree::Node] - Source: 'src/betree.rs', lines 179:0-179:9 *) -and betree_Node_t = -| Betree_Node_Internal : betree_Internal_t -> betree_Node_t -| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t - -(** [betree_main::betree::Params] - Source: 'src/betree.rs', lines 187:0-187:13 *) -type betree_Params_t = { min_flush_size : u64; split_size : u64; } - -(** [betree_main::betree::NodeIdCounter] - Source: 'src/betree.rs', lines 201:0-201:20 *) -type betree_NodeIdCounter_t = { next_node_id : u64; } - -(** [betree_main::betree::BeTree] - Source: 'src/betree.rs', lines 218:0-218:17 *) -type betree_BeTree_t = -{ - params : betree_Params_t; - node_id_cnt : betree_NodeIdCounter_t; - root : betree_Node_t; -} - diff --git a/tests/fstar/betree/BetreeMain.TypesExternal.fsti b/tests/fstar/betree/BetreeMain.TypesExternal.fsti deleted file mode 100644 index 1b2c53a6..00000000 --- a/tests/fstar/betree/BetreeMain.TypesExternal.fsti +++ /dev/null @@ -1,10 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: external type declarations *) -module BetreeMain.TypesExternal -open Primitives - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** The state type used in the state-error monad *) -val state : Type0 - -- cgit v1.2.3