From 6db835db88c4bcf0e00ce1a7a6bc396382b393c3 Mon Sep 17 00:00:00 2001 From: Son Ho Date: Fri, 11 Nov 2022 21:34:29 +0100 Subject: Reorganize the project to prepare for new backends --- tests/betree_back_stateful/BetreeMain.Funs.fst | 2085 ------------------------ 1 file changed, 2085 deletions(-) delete mode 100644 tests/betree_back_stateful/BetreeMain.Funs.fst (limited to 'tests/betree_back_stateful/BetreeMain.Funs.fst') diff --git a/tests/betree_back_stateful/BetreeMain.Funs.fst b/tests/betree_back_stateful/BetreeMain.Funs.fst deleted file mode 100644 index ea8344fa..00000000 --- a/tests/betree_back_stateful/BetreeMain.Funs.fst +++ /dev/null @@ -1,2085 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: function definitions *) -module BetreeMain.Funs -open Primitives -include BetreeMain.Types -include BetreeMain.Opaque -include BetreeMain.Clauses - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree::load_internal_node] *) -let betree_load_internal_node_fwd - (id : u64) (st : state) : - result (state & (betree_list_t (u64 & betree_message_t))) - = - begin match betree_utils_load_internal_node_fwd id st with - | Fail -> Fail - | Return (st0, l) -> Return (st0, l) - end - -(** [betree_main::betree::store_internal_node] *) -let betree_store_internal_node_fwd - (id : u64) (content : betree_list_t (u64 & betree_message_t)) (st : state) : - result (state & unit) - = - begin match betree_utils_store_internal_node_fwd id content st with - | Fail -> Fail - | Return (st0, _) -> Return (st0, ()) - end - -(** [betree_main::betree::load_leaf_node] *) -let betree_load_leaf_node_fwd - (id : u64) (st : state) : result (state & (betree_list_t (u64 & u64))) = - begin match betree_utils_load_leaf_node_fwd id st with - | Fail -> Fail - | Return (st0, l) -> Return (st0, l) - end - -(** [betree_main::betree::store_leaf_node] *) -let betree_store_leaf_node_fwd - (id : u64) (content : betree_list_t (u64 & u64)) (st : state) : - result (state & unit) - = - begin match betree_utils_store_leaf_node_fwd id content st with - | Fail -> Fail - | Return (st0, _) -> Return (st0, ()) - end - -(** [betree_main::betree::fresh_node_id] *) -let betree_fresh_node_id_fwd (counter : u64) : result u64 = - begin match u64_add counter 1 with - | Fail -> Fail - | Return _ -> Return counter - end - -(** [betree_main::betree::fresh_node_id] *) -let betree_fresh_node_id_back (counter : u64) : result u64 = - begin match u64_add counter 1 with - | Fail -> Fail - | Return counter0 -> Return counter0 - end - -(** [betree_main::betree::NodeIdCounter::{0}::new] *) -let betree_node_id_counter_new_fwd : result betree_node_id_counter_t = - Return (Mkbetree_node_id_counter_t 0) - -(** [betree_main::betree::NodeIdCounter::{0}::fresh_id] *) -let betree_node_id_counter_fresh_id_fwd - (self : betree_node_id_counter_t) : result u64 = - begin match u64_add self.betree_node_id_counter_next_node_id 1 with - | Fail -> Fail - | Return _ -> Return self.betree_node_id_counter_next_node_id - end - -(** [betree_main::betree::NodeIdCounter::{0}::fresh_id] *) -let betree_node_id_counter_fresh_id_back - (self : betree_node_id_counter_t) : result betree_node_id_counter_t = - begin match u64_add self.betree_node_id_counter_next_node_id 1 with - | Fail -> Fail - | Return i -> Return (Mkbetree_node_id_counter_t i) - end - -(** [core::num::u64::{10}::MAX] *) -let core_num_u64_max_body : result u64 = Return 18446744073709551615 -let core_num_u64_max_c : u64 = eval_global core_num_u64_max_body - -(** [betree_main::betree::upsert_update] *) -let betree_upsert_update_fwd - (prev : option u64) (st : betree_upsert_fun_state_t) : result u64 = - begin match prev with - | None -> - begin match st with - | BetreeUpsertFunStateAdd v -> Return v - | BetreeUpsertFunStateSub i -> Return 0 - end - | Some prev0 -> - begin match st with - | BetreeUpsertFunStateAdd v -> - begin match u64_sub core_num_u64_max_c prev0 with - | Fail -> Fail - | Return margin -> - if margin >= v - then - begin match u64_add prev0 v with - | Fail -> Fail - | Return i -> Return i - end - else Return core_num_u64_max_c - end - | BetreeUpsertFunStateSub v -> - if prev0 >= v - then - begin match u64_sub prev0 v with - | Fail -> Fail - | Return i -> Return i - end - else Return 0 - end - end - -(** [betree_main::betree::List::{1}::len] *) -let rec betree_list_len_fwd - (t : Type0) (self : betree_list_t t) : - Tot (result u64) (decreases (betree_list_len_decreases t self)) - = - begin match self with - | BetreeListCons x tl -> - begin match betree_list_len_fwd t tl with - | Fail -> Fail - | Return i -> - begin match u64_add 1 i with | Fail -> Fail | Return i0 -> Return i0 end - end - | BetreeListNil -> Return 0 - end - -(** [betree_main::betree::List::{1}::split_at] *) -let rec betree_list_split_at_fwd - (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 Return (BetreeListNil, self) - else - begin match self with - | BetreeListCons hd tl -> - begin match u64_sub n 1 with - | Fail -> Fail - | Return i -> - begin match betree_list_split_at_fwd t tl i with - | Fail -> Fail - | Return p -> - let (ls0, ls1) = p in - let l = ls0 in Return (BetreeListCons hd l, ls1) - end - end - | BetreeListNil -> Fail - end - -(** [betree_main::betree::List::{1}::push_front] *) -let betree_list_push_front_fwd_back - (t : Type0) (self : betree_list_t t) (x : t) : result (betree_list_t t) = - let tl = mem_replace_fwd (betree_list_t t) self BetreeListNil in - let l = tl in Return (BetreeListCons x l) - -(** [betree_main::betree::List::{1}::pop_front] *) -let betree_list_pop_front_fwd (t : Type0) (self : betree_list_t t) : result t = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in - begin match ls with - | BetreeListCons x tl -> Return x - | BetreeListNil -> Fail - end - -(** [betree_main::betree::List::{1}::pop_front] *) -let betree_list_pop_front_back - (t : Type0) (self : betree_list_t t) : result (betree_list_t t) = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in - begin match ls with - | BetreeListCons x tl -> Return tl - | BetreeListNil -> Fail - end - -(** [betree_main::betree::List::{1}::hd] *) -let betree_list_hd_fwd (t : Type0) (self : betree_list_t t) : result t = - begin match self with - | BetreeListCons hd l -> Return hd - | BetreeListNil -> Fail - end - -(** [betree_main::betree::List::{2}::head_has_key] *) -let betree_list_head_has_key_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (key : u64) : result bool = - begin match self with - | BetreeListCons hd l -> let (i, _) = hd in Return (i = key) - | BetreeListNil -> Return false - end - -(** [betree_main::betree::List::{2}::partition_at_pivot] *) -let rec betree_list_partition_at_pivot_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (pivot : u64) : - Tot (result ((betree_list_t (u64 & t)) & (betree_list_t (u64 & t)))) - (decreases (betree_list_partition_at_pivot_decreases t self pivot)) - = - begin match self with - | BetreeListCons hd tl -> - let (i, x) = hd in - if i >= pivot - then Return (BetreeListNil, BetreeListCons (i, x) tl) - else - begin match betree_list_partition_at_pivot_fwd t tl pivot with - | Fail -> Fail - | Return p -> - let (ls0, ls1) = p in - let l = ls0 in Return (BetreeListCons (i, x) l, ls1) - end - | BetreeListNil -> Return (BetreeListNil, BetreeListNil) - end - -(** [betree_main::betree::Leaf::{3}::split] *) -let betree_leaf_split_fwd - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (st : state) : - result (state & betree_internal_t) - = - begin match - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size with - | Fail -> Fail - | Return p -> - let (content0, content1) = p in - begin match betree_list_hd_fwd (u64 & u64) content1 with - | Fail -> Fail - | Return p0 -> - let (pivot, _) = p0 in - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt with - | Fail -> Fail - | Return id0 -> - begin match betree_node_id_counter_fresh_id_back node_id_cnt with - | Fail -> Fail - | Return node_id_cnt0 -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt0 with - | Fail -> Fail - | Return id1 -> - begin match betree_store_leaf_node_fwd id0 content0 st with - | Fail -> Fail - | Return (st0, _) -> - begin match betree_store_leaf_node_fwd id1 content1 st0 with - | Fail -> Fail - | Return (st1, _) -> - let n = BetreeNodeLeaf (Mkbetree_leaf_t id0 - params.betree_params_split_size) in - let n0 = BetreeNodeLeaf (Mkbetree_leaf_t id1 - params.betree_params_split_size) in - Return - (st1, - Mkbetree_internal_t - self.betree_leaf_id - pivot - n - n0) - end - end - end - end - end - end - end - -(** [betree_main::betree::Leaf::{3}::split] *) -let betree_leaf_split_back0 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (st : state) (st0 : state) : - result (state & unit) - = - begin match - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size with - | Fail -> Fail - | Return p -> - let (content0, content1) = p in - begin match betree_list_hd_fwd (u64 & u64) content1 with - | Fail -> Fail - | Return _ -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt with - | Fail -> Fail - | Return id0 -> - begin match betree_node_id_counter_fresh_id_back node_id_cnt with - | Fail -> Fail - | Return node_id_cnt0 -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt0 with - | Fail -> Fail - | Return id1 -> - begin match betree_store_leaf_node_fwd id0 content0 st with - | Fail -> Fail - | Return (st1, _) -> - begin match betree_store_leaf_node_fwd id1 content1 st1 with - | Fail -> Fail - | Return (_, _) -> Return (st0, ()) - end - end - end - end - end - end - end - -(** [betree_main::betree::Leaf::{3}::split] *) -let betree_leaf_split_back1 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (st : state) (st0 : state) : - result (state & unit) - = - begin match - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size with - | Fail -> Fail - | Return p -> - let (content0, content1) = p in - begin match betree_list_hd_fwd (u64 & u64) content1 with - | Fail -> Fail - | Return _ -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt with - | Fail -> Fail - | Return id0 -> - begin match betree_node_id_counter_fresh_id_back node_id_cnt with - | Fail -> Fail - | Return node_id_cnt0 -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt0 with - | Fail -> Fail - | Return id1 -> - begin match betree_store_leaf_node_fwd id0 content0 st with - | Fail -> Fail - | Return (st1, _) -> - begin match betree_store_leaf_node_fwd id1 content1 st1 with - | Fail -> Fail - | Return (_, _) -> Return (st0, ()) - end - end - end - end - end - end - end - -(** [betree_main::betree::Leaf::{3}::split] *) -let betree_leaf_split_back2 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) - (st : state) (st0 : state) : - result (state & betree_node_id_counter_t) - = - begin match - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size with - | Fail -> Fail - | Return p -> - let (content0, content1) = p in - begin match betree_list_hd_fwd (u64 & u64) content1 with - | Fail -> Fail - | Return _ -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt with - | Fail -> Fail - | Return id0 -> - begin match betree_node_id_counter_fresh_id_back node_id_cnt with - | Fail -> Fail - | Return node_id_cnt0 -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt0 with - | Fail -> Fail - | Return id1 -> - begin match betree_store_leaf_node_fwd id0 content0 st with - | Fail -> Fail - | Return (st1, _) -> - begin match betree_store_leaf_node_fwd id1 content1 st1 with - | Fail -> Fail - | Return (_, _) -> - begin match betree_node_id_counter_fresh_id_back node_id_cnt0 - with - | Fail -> Fail - | Return node_id_cnt1 -> Return (st0, node_id_cnt1) - end - end - end - end - end - end - end - end - -(** [betree_main::betree::Node::{5}::lookup_in_bindings] *) -let rec betree_node_lookup_in_bindings_fwd - (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 - | BetreeListCons hd tl -> - let (i, i0) = hd in - if i = key - then Return (Some i0) - else - if i > key - then Return None - else - begin match betree_node_lookup_in_bindings_fwd key tl with - | Fail -> Fail - | Return opt -> Return opt - end - | BetreeListNil -> Return None - end - -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key] *) -let rec betree_node_lookup_first_message_for_key_fwd - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_for_key_decreases key msgs)) - = - begin match msgs with - | BetreeListCons x next_msgs -> - let (i, m) = x in - if i >= key - then Return (BetreeListCons (i, m) next_msgs) - else - begin match betree_node_lookup_first_message_for_key_fwd key next_msgs - with - | Fail -> Fail - | Return l -> Return l - end - | BetreeListNil -> Return BetreeListNil - end - -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key] *) -let rec betree_node_lookup_first_message_for_key_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) - (ret : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_for_key_decreases key msgs)) - = - begin match msgs with - | BetreeListCons x next_msgs -> - let (i, m) = x in - if i >= key - then Return ret - else - begin match - betree_node_lookup_first_message_for_key_back key next_msgs ret with - | Fail -> Fail - | Return next_msgs0 -> Return (BetreeListCons (i, m) next_msgs0) - end - | BetreeListNil -> Return ret - end - -(** [betree_main::betree::Node::{5}::apply_upserts] *) -let rec betree_node_apply_upserts_fwd - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) - (key : u64) (st : state) : - Tot (result (state & u64)) - (decreases (betree_node_apply_upserts_decreases msgs prev key st)) - = - begin match betree_list_head_has_key_fwd betree_message_t msgs key with - | Fail -> Fail - | Return b -> - if b - then - begin match betree_list_pop_front_fwd (u64 & betree_message_t) msgs with - | Fail -> Fail - | Return msg -> - let (_, m) = msg in - begin match m with - | BetreeMessageInsert i -> Fail - | BetreeMessageDelete -> Fail - | BetreeMessageUpsert s -> - begin match betree_upsert_update_fwd prev s with - | Fail -> Fail - | Return v -> - begin match - betree_list_pop_front_back (u64 & betree_message_t) msgs with - | Fail -> Fail - | Return msgs0 -> - begin match betree_node_apply_upserts_fwd msgs0 (Some v) key st - with - | Fail -> Fail - | Return (st0, i) -> Return (st0, i) - end - end - end - end - end - else - begin match core_option_option_unwrap_fwd u64 prev st with - | Fail -> Fail - | Return (st0, v) -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) with - | Fail -> Fail - | Return _ -> Return (st0, v) - end - end - end - -(** [betree_main::betree::Node::{5}::apply_upserts] *) -let rec betree_node_apply_upserts_back - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) - (key : u64) (st : state) (st0 : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) - (decreases (betree_node_apply_upserts_decreases msgs prev key st)) - = - begin match betree_list_head_has_key_fwd betree_message_t msgs key with - | Fail -> Fail - | Return b -> - if b - then - begin match betree_list_pop_front_fwd (u64 & betree_message_t) msgs with - | Fail -> Fail - | Return msg -> - let (_, m) = msg in - begin match m with - | BetreeMessageInsert i -> Fail - | BetreeMessageDelete -> Fail - | BetreeMessageUpsert s -> - begin match betree_upsert_update_fwd prev s with - | Fail -> Fail - | Return v -> - begin match - betree_list_pop_front_back (u64 & betree_message_t) msgs with - | Fail -> Fail - | Return msgs0 -> - begin match - betree_node_apply_upserts_back msgs0 (Some v) key st st0 with - | Fail -> Fail - | Return (st1, msgs1) -> Return (st1, msgs1) - end - end - end - end - end - else - begin match core_option_option_unwrap_fwd u64 prev st with - | Fail -> Fail - | Return (_, v) -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) with - | Fail -> Fail - | Return msgs0 -> Return (st0, msgs0) - end - end - end - -(** [betree_main::betree::Node::{5}::lookup] *) -let rec betree_node_lookup_fwd - (self : betree_node_t) (key : u64) (st : state) : - Tot (result (state & (option u64))) - (decreases (betree_node_lookup_decreases self key st)) - = - begin match self with - | BetreeNodeInternal node -> - begin match betree_load_internal_node_fwd node.betree_internal_id st with - | Fail -> Fail - | Return (st0, msgs) -> - begin match betree_node_lookup_first_message_for_key_fwd key msgs with - | Fail -> Fail - | Return pending -> - begin match pending with - | BetreeListCons p l -> - let (k, msg) = p in - if k <> key - then - begin match betree_internal_lookup_in_children_fwd node key st0 - with - | Fail -> Fail - | Return (st1, opt) -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) with - | Fail -> Fail - | Return _ -> Return (st1, opt) - end - end - else - begin match msg with - | BetreeMessageInsert v -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) with - | Fail -> Fail - | Return _ -> Return (st0, Some v) - end - | BetreeMessageDelete -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) with - | Fail -> Fail - | Return _ -> Return (st0, None) - end - | BetreeMessageUpsert ufs -> - begin match betree_internal_lookup_in_children_fwd node key st0 - with - | Fail -> Fail - | Return (st1, v) -> - begin match - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 with - | Fail -> Fail - | Return (st2, v0) -> - begin match - betree_internal_lookup_in_children_back node key st0 st2 - with - | Fail -> Fail - | Return (st3, node0) -> - begin match - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 st3 with - | Fail -> Fail - | Return (st4, pending0) -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - pending0 with - | Fail -> Fail - | Return msgs0 -> - begin match - betree_store_internal_node_fwd - node0.betree_internal_id msgs0 st4 with - | Fail -> Fail - | Return (st5, _) -> Return (st5, Some v0) - end - end - end - end - end - end - end - | BetreeListNil -> - begin match betree_internal_lookup_in_children_fwd node key st0 with - | Fail -> Fail - | Return (st1, opt) -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - BetreeListNil with - | Fail -> Fail - | Return _ -> Return (st1, opt) - end - end - end - end - end - | BetreeNodeLeaf node -> - begin match betree_load_leaf_node_fwd node.betree_leaf_id st with - | Fail -> Fail - | Return (st0, bindings) -> - begin match betree_node_lookup_in_bindings_fwd key bindings with - | Fail -> Fail - | Return opt -> Return (st0, opt) - end - end - end - -(** [betree_main::betree::Node::{5}::lookup] *) -and betree_node_lookup_back - (self : betree_node_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_node_t)) - (decreases (betree_node_lookup_decreases self key st)) - = - begin match self with - | BetreeNodeInternal node -> - begin match betree_load_internal_node_fwd node.betree_internal_id st with - | Fail -> Fail - | Return (st1, msgs) -> - begin match betree_node_lookup_first_message_for_key_fwd key msgs with - | Fail -> Fail - | Return pending -> - begin match pending with - | BetreeListCons p l -> - let (k, msg) = p in - if k <> key - then - begin match - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) with - | Fail -> Fail - | Return _ -> - begin match - betree_internal_lookup_in_children_back node key st1 st0 with - | Fail -> Fail - | Return (st2, node0) -> Return (st2, BetreeNodeInternal node0) - end - end - else - begin match msg with - | BetreeMessageInsert v -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) with - | Fail -> Fail - | Return _ -> Return (st0, BetreeNodeInternal node) - end - | BetreeMessageDelete -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) with - | Fail -> Fail - | Return _ -> Return (st0, BetreeNodeInternal node) - end - | BetreeMessageUpsert ufs -> - begin match betree_internal_lookup_in_children_fwd node key st1 - with - | Fail -> Fail - | Return (st2, v) -> - begin match - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st2 with - | Fail -> Fail - | Return (st3, _) -> - begin match - betree_internal_lookup_in_children_back node key st1 st3 - with - | Fail -> Fail - | Return (st4, node0) -> - begin match - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st2 st4 with - | Fail -> Fail - | Return (st5, pending0) -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - pending0 with - | Fail -> Fail - | Return msgs0 -> - begin match - betree_store_internal_node_fwd - node0.betree_internal_id msgs0 st5 with - | Fail -> Fail - | Return (_, _) -> - Return (st0, BetreeNodeInternal node0) - end - end - end - end - end - end - end - | BetreeListNil -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - BetreeListNil with - | Fail -> Fail - | Return _ -> - begin match - betree_internal_lookup_in_children_back node key st1 st0 with - | Fail -> Fail - | Return (st2, node0) -> Return (st2, BetreeNodeInternal node0) - end - end - end - end - end - | BetreeNodeLeaf node -> - begin match betree_load_leaf_node_fwd node.betree_leaf_id st with - | Fail -> Fail - | Return (_, bindings) -> - begin match betree_node_lookup_in_bindings_fwd key bindings with - | Fail -> Fail - | Return _ -> Return (st0, BetreeNodeLeaf node) - end - end - end - -(** [betree_main::betree::Internal::{4}::lookup_in_children] *) -and betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : u64) (st : state) : - Tot (result (state & (option u64))) - (decreases (betree_internal_lookup_in_children_decreases self key st)) - = - if key < self.betree_internal_pivot - then - begin match betree_node_lookup_fwd self.betree_internal_left key st with - | Fail -> Fail - | Return (st0, opt) -> Return (st0, opt) - end - else - begin match betree_node_lookup_fwd self.betree_internal_right key st with - | Fail -> Fail - | Return (st0, opt) -> Return (st0, opt) - end - -(** [betree_main::betree::Internal::{4}::lookup_in_children] *) -and betree_internal_lookup_in_children_back - (self : betree_internal_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_internal_t)) - (decreases (betree_internal_lookup_in_children_decreases self key st)) - = - if key < self.betree_internal_pivot - then - begin match betree_node_lookup_back self.betree_internal_left key st st0 - with - | Fail -> Fail - | Return (st1, n) -> - Return (st1, Mkbetree_internal_t self.betree_internal_id - self.betree_internal_pivot n self.betree_internal_right) - end - else - begin match betree_node_lookup_back self.betree_internal_right key st st0 - with - | Fail -> Fail - | Return (st1, n) -> - Return (st1, Mkbetree_internal_t self.betree_internal_id - self.betree_internal_pivot self.betree_internal_left n) - end - -(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings] *) -let rec betree_node_lookup_mut_in_bindings_fwd - (key : u64) (bindings : betree_list_t (u64 & u64)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_lookup_mut_in_bindings_decreases key bindings)) - = - begin match bindings with - | BetreeListCons hd tl -> - let (i, i0) = hd in - if i >= key - then Return (BetreeListCons (i, i0) tl) - else - begin match betree_node_lookup_mut_in_bindings_fwd key tl with - | Fail -> Fail - | Return l -> Return l - end - | BetreeListNil -> Return BetreeListNil - end - -(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings] *) -let rec betree_node_lookup_mut_in_bindings_back - (key : u64) (bindings : betree_list_t (u64 & u64)) - (ret : betree_list_t (u64 & u64)) : - Tot (result (betree_list_t (u64 & u64))) - (decreases (betree_node_lookup_mut_in_bindings_decreases key bindings)) - = - begin match bindings with - | BetreeListCons hd tl -> - let (i, i0) = hd in - if i >= key - then Return ret - else - begin match betree_node_lookup_mut_in_bindings_back key tl ret with - | Fail -> Fail - | Return tl0 -> Return (BetreeListCons (i, i0) tl0) - end - | BetreeListNil -> Return ret - end - -(** [betree_main::betree::Node::{5}::apply_to_leaf] *) -let betree_node_apply_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & u64)) - = - begin match betree_node_lookup_mut_in_bindings_fwd key bindings with - | Fail -> Fail - | Return bindings0 -> - begin match betree_list_head_has_key_fwd u64 bindings0 key with - | Fail -> Fail - | Return b -> - if b - then - begin match betree_list_pop_front_fwd (u64 & u64) bindings0 with - | Fail -> Fail - | Return hd -> - begin match new_msg with - | BetreeMessageInsert v -> - begin match betree_list_pop_front_back (u64 & u64) bindings0 with - | Fail -> Fail - | Return bindings1 -> - begin match - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) - with - | Fail -> Fail - | Return bindings2 -> - begin match - betree_node_lookup_mut_in_bindings_back key bindings - bindings2 with - | Fail -> Fail - | Return bindings3 -> Return bindings3 - end - end - end - | BetreeMessageDelete -> - begin match betree_list_pop_front_back (u64 & u64) bindings0 with - | Fail -> Fail - | Return bindings1 -> - begin match - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - with - | Fail -> Fail - | Return bindings2 -> Return bindings2 - end - end - | BetreeMessageUpsert s -> - let (_, i) = hd in - begin match betree_upsert_update_fwd (Some i) s with - | Fail -> Fail - | Return v -> - begin match betree_list_pop_front_back (u64 & u64) bindings0 with - | Fail -> Fail - | Return bindings1 -> - begin match - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, - v) with - | Fail -> Fail - | Return bindings2 -> - begin match - betree_node_lookup_mut_in_bindings_back key bindings - bindings2 with - | Fail -> Fail - | Return bindings3 -> Return bindings3 - end - end - end - end - end - end - else - begin match new_msg with - | BetreeMessageInsert v -> - begin match - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) with - | Fail -> Fail - | Return bindings1 -> - begin match - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - with - | Fail -> Fail - | Return bindings2 -> Return bindings2 - end - end - | BetreeMessageDelete -> - begin match - betree_node_lookup_mut_in_bindings_back key bindings bindings0 with - | Fail -> Fail - | Return bindings1 -> Return bindings1 - end - | BetreeMessageUpsert s -> - begin match betree_upsert_update_fwd None s with - | Fail -> Fail - | Return v -> - begin match - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) - with - | Fail -> Fail - | Return bindings1 -> - begin match - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - with - | Fail -> Fail - | Return bindings2 -> Return bindings2 - end - end - end - end - end - end - -(** [betree_main::betree::Node::{5}::apply_messages_to_leaf] *) -let rec betree_node_apply_messages_to_leaf_fwd_back - (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 - | BetreeListCons new_msg new_msgs_tl -> - let (i, m) = new_msg in - begin match betree_node_apply_to_leaf_fwd_back bindings i m with - | Fail -> Fail - | Return bindings0 -> - begin match - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl with - | Fail -> Fail - | Return bindings1 -> Return bindings1 - end - end - | BetreeListNil -> Return bindings - end - -(** [betree_main::betree::Node::{5}::filter_messages_for_key] *) -let rec betree_node_filter_messages_for_key_fwd_back - (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 - | BetreeListCons p l -> - let (k, m) = p in - if k = key - then - begin match - betree_list_pop_front_back (u64 & betree_message_t) (BetreeListCons (k, - m) l) with - | Fail -> Fail - | Return msgs0 -> - begin match betree_node_filter_messages_for_key_fwd_back key msgs0 with - | Fail -> Fail - | Return msgs1 -> Return msgs1 - end - end - else Return (BetreeListCons (k, m) l) - | BetreeListNil -> Return BetreeListNil - end - -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key] *) -let rec betree_node_lookup_first_message_after_key_fwd - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_after_key_decreases key msgs)) - = - begin match msgs with - | BetreeListCons p next_msgs -> - let (k, m) = p in - if k = key - then - begin match betree_node_lookup_first_message_after_key_fwd key next_msgs - with - | Fail -> Fail - | Return l -> Return l - end - else Return (BetreeListCons (k, m) next_msgs) - | BetreeListNil -> Return BetreeListNil - end - -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key] *) -let rec betree_node_lookup_first_message_after_key_back - (key : u64) (msgs : betree_list_t (u64 & betree_message_t)) - (ret : betree_list_t (u64 & betree_message_t)) : - Tot (result (betree_list_t (u64 & betree_message_t))) - (decreases (betree_node_lookup_first_message_after_key_decreases key msgs)) - = - begin match msgs with - | BetreeListCons p next_msgs -> - let (k, m) = p in - if k = key - then - begin match - betree_node_lookup_first_message_after_key_back key next_msgs ret with - | Fail -> Fail - | Return next_msgs0 -> Return (BetreeListCons (k, m) next_msgs0) - end - else Return ret - | BetreeListNil -> Return ret - end - -(** [betree_main::betree::Node::{5}::apply_to_internal] *) -let betree_node_apply_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & betree_message_t)) - = - begin match betree_node_lookup_first_message_for_key_fwd key msgs with - | Fail -> Fail - | Return msgs0 -> - begin match betree_list_head_has_key_fwd betree_message_t msgs0 key with - | Fail -> Fail - | Return b -> - if b - then - begin match new_msg with - | BetreeMessageInsert i -> - begin match betree_node_filter_messages_for_key_fwd_back key msgs0 - with - | Fail -> Fail - | Return msgs1 -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 - (key, BetreeMessageInsert i) with - | Fail -> Fail - | Return msgs2 -> - begin match - betree_node_lookup_first_message_for_key_back key msgs msgs2 - with - | Fail -> Fail - | Return msgs3 -> Return msgs3 - end - end - end - | BetreeMessageDelete -> - begin match betree_node_filter_messages_for_key_fwd_back key msgs0 - with - | Fail -> Fail - | Return msgs1 -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 - (key, BetreeMessageDelete) with - | Fail -> Fail - | Return msgs2 -> - begin match - betree_node_lookup_first_message_for_key_back key msgs msgs2 - with - | Fail -> Fail - | Return msgs3 -> Return msgs3 - end - end - end - | BetreeMessageUpsert s -> - begin match betree_list_hd_fwd (u64 & betree_message_t) msgs0 with - | Fail -> Fail - | Return p -> - let (_, m) = p in - begin match m with - | BetreeMessageInsert prev -> - begin match betree_upsert_update_fwd (Some prev) s with - | Fail -> Fail - | Return v -> - begin match - betree_list_pop_front_back (u64 & betree_message_t) msgs0 - with - | Fail -> Fail - | Return msgs1 -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) - msgs1 (key, BetreeMessageInsert v) with - | Fail -> Fail - | Return msgs2 -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - msgs2 with - | Fail -> Fail - | Return msgs3 -> Return msgs3 - end - end - end - end - | BetreeMessageDelete -> - begin match betree_upsert_update_fwd None s with - | Fail -> Fail - | Return v -> - begin match - betree_list_pop_front_back (u64 & betree_message_t) msgs0 - with - | Fail -> Fail - | Return msgs1 -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) - msgs1 (key, BetreeMessageInsert v) with - | Fail -> Fail - | Return msgs2 -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - msgs2 with - | Fail -> Fail - | Return msgs3 -> Return msgs3 - end - end - end - end - | BetreeMessageUpsert ufs -> - begin match - betree_node_lookup_first_message_after_key_fwd key msgs0 with - | Fail -> Fail - | Return msgs1 -> - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) - msgs1 (key, BetreeMessageUpsert s) with - | Fail -> Fail - | Return msgs2 -> - begin match - betree_node_lookup_first_message_after_key_back key msgs0 - msgs2 with - | Fail -> Fail - | Return msgs3 -> - begin match - betree_node_lookup_first_message_for_key_back key msgs - msgs3 with - | Fail -> Fail - | Return msgs4 -> Return msgs4 - end - end - end - end - end - end - end - else - begin match - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs0 (key, - new_msg) with - | Fail -> Fail - | Return msgs1 -> - begin match - betree_node_lookup_first_message_for_key_back key msgs msgs1 with - | Fail -> Fail - | Return msgs2 -> Return msgs2 - end - end - end - end - -(** [betree_main::betree::Node::{5}::apply_messages_to_internal] *) -let rec betree_node_apply_messages_to_internal_fwd_back - (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 - | BetreeListCons new_msg new_msgs_tl -> - let (i, m) = new_msg in - begin match betree_node_apply_to_internal_fwd_back msgs i m with - | Fail -> Fail - | Return msgs0 -> - begin match - betree_node_apply_messages_to_internal_fwd_back msgs0 new_msgs_tl with - | Fail -> Fail - | Return msgs1 -> Return msgs1 - end - end - | BetreeListNil -> Return msgs - end - -(** [betree_main::betree::Node::{5}::apply_messages] *) -let rec 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 (u64 & betree_message_t)) (st : state) : - Tot (result (state & unit)) - (decreases (betree_node_apply_messages_decreases self params node_id_cnt msgs - st)) - = - begin match self with - | BetreeNodeInternal node -> - begin match betree_load_internal_node_fwd node.betree_internal_id st with - | Fail -> Fail - | Return (st0, content) -> - begin match betree_node_apply_messages_to_internal_fwd_back content msgs - with - | Fail -> Fail - | Return content0 -> - begin match betree_list_len_fwd (u64 & betree_message_t) content0 with - | Fail -> Fail - | Return num_msgs -> - if num_msgs >= params.betree_params_min_flush_size - then - begin match - betree_internal_flush_fwd node params node_id_cnt content0 st0 - with - | Fail -> Fail - | Return (st1, content1) -> - begin match - betree_internal_flush_back'a node params node_id_cnt content0 - st0 st1 with - | Fail -> Fail - | Return (st2, (node0, _)) -> - begin match - betree_store_internal_node_fwd node0.betree_internal_id - content1 st2 with - | Fail -> Fail - | Return (st3, _) -> Return (st3, ()) - end - end - end - else - begin match - betree_store_internal_node_fwd node.betree_internal_id content0 - st0 with - | Fail -> Fail - | Return (st1, _) -> Return (st1, ()) - end - end - end - end - | BetreeNodeLeaf node -> - begin match betree_load_leaf_node_fwd node.betree_leaf_id st with - | Fail -> Fail - | Return (st0, content) -> - begin match betree_node_apply_messages_to_leaf_fwd_back content msgs with - | Fail -> Fail - | Return content0 -> - begin match betree_list_len_fwd (u64 & u64) content0 with - | Fail -> Fail - | Return len -> - begin match u64_mul 2 params.betree_params_split_size with - | Fail -> Fail - | Return i -> - if len >= i - then - begin match - betree_leaf_split_fwd node content0 params node_id_cnt st0 with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil - st1 with - | Fail -> Fail - | Return (st2, _) -> - begin match - betree_leaf_split_back0 node content0 params node_id_cnt - st0 st2 with - | Fail -> Fail - | Return (st3, ()) -> Return (st3, ()) - end - end - end - else - begin match - betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 - with - | Fail -> Fail - | Return (st1, _) -> Return (st1, ()) - end - end - end - end - end - end - -(** [betree_main::betree::Node::{5}::apply_messages] *) -and betree_node_apply_messages_back'a - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : - Tot (result (state & (betree_node_t & betree_node_id_counter_t))) - (decreases (betree_node_apply_messages_decreases self params node_id_cnt msgs - st)) - = - begin match self with - | BetreeNodeInternal node -> - begin match betree_load_internal_node_fwd node.betree_internal_id st with - | Fail -> Fail - | Return (st1, content) -> - begin match betree_node_apply_messages_to_internal_fwd_back content msgs - with - | Fail -> Fail - | Return content0 -> - begin match betree_list_len_fwd (u64 & betree_message_t) content0 with - | Fail -> Fail - | Return num_msgs -> - if num_msgs >= params.betree_params_min_flush_size - then - begin match - betree_internal_flush_fwd node params node_id_cnt content0 st1 - with - | Fail -> Fail - | Return (st2, content1) -> - begin match - betree_internal_flush_back'a node params node_id_cnt content0 - st1 st2 with - | Fail -> Fail - | Return (st3, (node0, node_id_cnt0)) -> - begin match - betree_store_internal_node_fwd node0.betree_internal_id - content1 st3 with - | Fail -> Fail - | Return (_, _) -> - Return (st0, (BetreeNodeInternal node0, node_id_cnt0)) - end - end - end - else - begin match - betree_store_internal_node_fwd node.betree_internal_id content0 - st1 with - | Fail -> Fail - | Return (_, _) -> - Return (st0, (BetreeNodeInternal node, node_id_cnt)) - end - end - end - end - | BetreeNodeLeaf node -> - begin match betree_load_leaf_node_fwd node.betree_leaf_id st with - | Fail -> Fail - | Return (st1, content) -> - begin match betree_node_apply_messages_to_leaf_fwd_back content msgs with - | Fail -> Fail - | Return content0 -> - begin match betree_list_len_fwd (u64 & u64) content0 with - | Fail -> Fail - | Return len -> - begin match u64_mul 2 params.betree_params_split_size with - | Fail -> Fail - | Return i -> - if len >= i - then - begin match - betree_leaf_split_fwd node content0 params node_id_cnt st1 with - | Fail -> Fail - | Return (st2, new_node) -> - begin match - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil - st2 with - | Fail -> Fail - | Return (st3, _) -> - begin match - betree_leaf_split_back0 node content0 params node_id_cnt - st1 st3 with - | Fail -> Fail - | Return (_, ()) -> - begin match - betree_leaf_split_back2 node content0 params node_id_cnt - st1 st0 with - | Fail -> Fail - | Return (st4, node_id_cnt0) -> - Return (st4, (BetreeNodeInternal new_node, node_id_cnt0)) - end - end - end - end - else - begin match - betree_store_leaf_node_fwd node.betree_leaf_id content0 st1 - with - | Fail -> Fail - | Return (_, _) -> - Return (st0, (BetreeNodeLeaf (Mkbetree_leaf_t - node.betree_leaf_id len), node_id_cnt)) - end - end - end - end - end - end - -(** [betree_main::betree::Node::{5}::apply_messages] *) -and betree_node_apply_messages_back1 - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : - Tot (result (state & unit)) - (decreases (betree_node_apply_messages_decreases self params node_id_cnt msgs - st)) - = - begin match self with - | BetreeNodeInternal node -> - begin match betree_load_internal_node_fwd node.betree_internal_id st with - | Fail -> Fail - | Return (st1, content) -> - begin match betree_node_apply_messages_to_internal_fwd_back content msgs - with - | Fail -> Fail - | Return content0 -> - begin match betree_list_len_fwd (u64 & betree_message_t) content0 with - | Fail -> Fail - | Return num_msgs -> - if num_msgs >= params.betree_params_min_flush_size - then - begin match - betree_internal_flush_fwd node params node_id_cnt content0 st1 - with - | Fail -> Fail - | Return (st2, content1) -> - begin match - betree_internal_flush_back'a node params node_id_cnt content0 - st1 st2 with - | Fail -> Fail - | Return (st3, (node0, _)) -> - begin match - betree_store_internal_node_fwd node0.betree_internal_id - content1 st3 with - | Fail -> Fail - | Return (_, _) -> - begin match - betree_internal_flush_back1 node params node_id_cnt - content0 st1 st0 with - | Fail -> Fail - | Return (st4, ()) -> Return (st4, ()) - end - end - end - end - else - begin match - betree_store_internal_node_fwd node.betree_internal_id content0 - st1 with - | Fail -> Fail - | Return (_, _) -> Return (st0, ()) - end - end - end - end - | BetreeNodeLeaf node -> - begin match betree_load_leaf_node_fwd node.betree_leaf_id st with - | Fail -> Fail - | Return (st1, content) -> - begin match betree_node_apply_messages_to_leaf_fwd_back content msgs with - | Fail -> Fail - | Return content0 -> - begin match betree_list_len_fwd (u64 & u64) content0 with - | Fail -> Fail - | Return len -> - begin match u64_mul 2 params.betree_params_split_size with - | Fail -> Fail - | Return i -> - if len >= i - then - begin match - betree_leaf_split_fwd node content0 params node_id_cnt st1 with - | Fail -> Fail - | Return (st2, _) -> - begin match - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil - st2 with - | Fail -> Fail - | Return (st3, _) -> - begin match - betree_leaf_split_back0 node content0 params node_id_cnt - st1 st3 with - | Fail -> Fail - | Return (_, ()) -> - begin match - betree_leaf_split_back1 node content0 params node_id_cnt - st1 st0 with - | Fail -> Fail - | Return (st4, ()) -> Return (st4, ()) - end - end - end - end - else - begin match - betree_store_leaf_node_fwd node.betree_leaf_id content0 st1 - with - | Fail -> Fail - | Return (_, _) -> Return (st0, ()) - end - end - end - end - end - end - -(** [betree_main::betree::Internal::{4}::flush] *) -and betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) - (decreases (betree_internal_flush_decreases self params node_id_cnt content - st)) - = - begin match - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot with - | Fail -> Fail - | Return p -> - let (msgs_left, msgs_right) = p in - begin match betree_list_len_fwd (u64 & betree_message_t) msgs_left with - | Fail -> Fail - | Return len_left -> - if len_left >= params.betree_params_min_flush_size - then - begin match - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st with - | Fail -> Fail - | Return (st0, _) -> - begin match - betree_node_apply_messages_back'a self.betree_internal_left params - node_id_cnt msgs_left st st0 with - | Fail -> Fail - | Return (st1, (_, node_id_cnt0)) -> - begin match - betree_node_apply_messages_back1 self.betree_internal_left params - node_id_cnt msgs_left st st1 with - | Fail -> Fail - | Return (st2, ()) -> - begin match - betree_list_len_fwd (u64 & betree_message_t) msgs_right with - | Fail -> Fail - | Return len_right -> - if len_right >= params.betree_params_min_flush_size - then - begin match - betree_node_apply_messages_fwd self.betree_internal_right - params node_id_cnt0 msgs_right st2 with - | Fail -> Fail - | Return (st3, _) -> - begin match - betree_node_apply_messages_back'a - self.betree_internal_right params node_id_cnt0 - msgs_right st2 st3 with - | Fail -> Fail - | Return (st4, (_, _)) -> - begin match - betree_node_apply_messages_back1 - self.betree_internal_right params node_id_cnt0 - msgs_right st2 st4 with - | Fail -> Fail - | Return (st5, ()) -> Return (st5, BetreeListNil) - end - end - end - else Return (st2, msgs_right) - end - end - end - end - else - begin match - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st with - | Fail -> Fail - | Return (st0, _) -> - begin match - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st0 with - | Fail -> Fail - | Return (st1, (_, _)) -> - begin match - betree_node_apply_messages_back1 self.betree_internal_right - params node_id_cnt msgs_right st st1 with - | Fail -> Fail - | Return (st2, ()) -> Return (st2, msgs_left) - end - end - end - end - end - -(** [betree_main::betree::Internal::{4}::flush] *) -and betree_internal_flush_back'a - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : - Tot (result (state & (betree_internal_t & betree_node_id_counter_t))) - (decreases (betree_internal_flush_decreases self params node_id_cnt content - st)) - = - begin match - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot with - | Fail -> Fail - | Return p -> - let (msgs_left, msgs_right) = p in - begin match betree_list_len_fwd (u64 & betree_message_t) msgs_left with - | Fail -> Fail - | Return len_left -> - if len_left >= params.betree_params_min_flush_size - then - begin match - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_messages_back'a self.betree_internal_left params - node_id_cnt msgs_left st st1 with - | Fail -> Fail - | Return (st2, (n, node_id_cnt0)) -> - begin match - betree_node_apply_messages_back1 self.betree_internal_left params - node_id_cnt msgs_left st st2 with - | Fail -> Fail - | Return (st3, ()) -> - begin match - betree_list_len_fwd (u64 & betree_message_t) msgs_right with - | Fail -> Fail - | Return len_right -> - if len_right >= params.betree_params_min_flush_size - then - begin match - betree_node_apply_messages_fwd self.betree_internal_right - params node_id_cnt0 msgs_right st3 with - | Fail -> Fail - | Return (st4, _) -> - begin match - betree_node_apply_messages_back'a - self.betree_internal_right params node_id_cnt0 - msgs_right st3 st4 with - | Fail -> Fail - | Return (st5, (n0, node_id_cnt1)) -> - begin match - betree_node_apply_messages_back1 - self.betree_internal_right params node_id_cnt0 - msgs_right st3 st5 with - | Fail -> Fail - | Return (_, ()) -> - Return (st0, (Mkbetree_internal_t - self.betree_internal_id self.betree_internal_pivot n - n0, node_id_cnt1)) - end - end - end - else - Return (st0, (Mkbetree_internal_t self.betree_internal_id - self.betree_internal_pivot n self.betree_internal_right, - node_id_cnt0)) - end - end - end - end - else - begin match - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st1 with - | Fail -> Fail - | Return (st2, (n, node_id_cnt0)) -> - begin match - betree_node_apply_messages_back1 self.betree_internal_right - params node_id_cnt msgs_right st st2 with - | Fail -> Fail - | Return (_, ()) -> - Return (st0, (Mkbetree_internal_t self.betree_internal_id - self.betree_internal_pivot self.betree_internal_left n, - node_id_cnt0)) - end - end - end - end - end - -(** [betree_main::betree::Internal::{4}::flush] *) -and betree_internal_flush_back1 - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : - Tot (result (state & unit)) - (decreases (betree_internal_flush_decreases self params node_id_cnt content - st)) - = - begin match - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot with - | Fail -> Fail - | Return p -> - let (msgs_left, msgs_right) = p in - begin match betree_list_len_fwd (u64 & betree_message_t) msgs_left with - | Fail -> Fail - | Return len_left -> - if len_left >= params.betree_params_min_flush_size - then - begin match - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_messages_back'a self.betree_internal_left params - node_id_cnt msgs_left st st1 with - | Fail -> Fail - | Return (st2, (_, node_id_cnt0)) -> - begin match - betree_node_apply_messages_back1 self.betree_internal_left params - node_id_cnt msgs_left st st2 with - | Fail -> Fail - | Return (st3, ()) -> - begin match - betree_list_len_fwd (u64 & betree_message_t) msgs_right with - | Fail -> Fail - | Return len_right -> - if len_right >= params.betree_params_min_flush_size - then - begin match - betree_node_apply_messages_fwd self.betree_internal_right - params node_id_cnt0 msgs_right st3 with - | Fail -> Fail - | Return (st4, _) -> - begin match - betree_node_apply_messages_back'a - self.betree_internal_right params node_id_cnt0 - msgs_right st3 st4 with - | Fail -> Fail - | Return (st5, (_, _)) -> - begin match - betree_node_apply_messages_back1 - self.betree_internal_right params node_id_cnt0 - msgs_right st3 st5 with - | Fail -> Fail - | Return (_, ()) -> Return (st0, ()) - end - end - end - else Return (st0, ()) - end - end - end - end - else - begin match - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st1 with - | Fail -> Fail - | Return (st2, (_, _)) -> - begin match - betree_node_apply_messages_back1 self.betree_internal_right - params node_id_cnt msgs_right st st2 with - | Fail -> Fail - | Return (_, ()) -> Return (st0, ()) - end - end - end - end - end - -(** [betree_main::betree::Node::{5}::apply] *) -let betree_node_apply_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : - result (state & unit) - = - let l = BetreeListNil in - begin match - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st with - | Fail -> Fail - | Return (st0, _) -> - begin match - betree_node_apply_messages_back'a self params node_id_cnt (BetreeListCons - (key, new_msg) l) st st0 with - | Fail -> Fail - | Return (st1, (_, _)) -> - begin match - betree_node_apply_messages_back1 self params node_id_cnt - (BetreeListCons (key, new_msg) l) st st1 with - | Fail -> Fail - | Return (st2, ()) -> Return (st2, ()) - end - end - end - -(** [betree_main::betree::Node::{5}::apply] *) -let betree_node_apply_back'a - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) (st0 : state) : - result (state & (betree_node_t & betree_node_id_counter_t)) - = - let l = BetreeListNil in - begin match - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_messages_back'a self params node_id_cnt (BetreeListCons - (key, new_msg) l) st st1 with - | Fail -> Fail - | Return (st2, (self0, node_id_cnt0)) -> - begin match - betree_node_apply_messages_back1 self params node_id_cnt - (BetreeListCons (key, new_msg) l) st st2 with - | Fail -> Fail - | Return (_, ()) -> Return (st0, (self0, node_id_cnt0)) - end - end - end - -(** [betree_main::betree::Node::{5}::apply] *) -let betree_node_apply_back1 - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) (st0 : state) : - result (state & unit) - = - let l = BetreeListNil in - begin match - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_messages_back'a self params node_id_cnt (BetreeListCons - (key, new_msg) l) st st1 with - | Fail -> Fail - | Return (st2, (_, _)) -> - begin match - betree_node_apply_messages_back1 self params node_id_cnt - (BetreeListCons (key, new_msg) l) st st2 with - | Fail -> Fail - | Return (_, ()) -> Return (st0, ()) - end - end - end - -(** [betree_main::betree::BeTree::{6}::new] *) -let betree_be_tree_new_fwd - (min_flush_size : u64) (split_size : u64) (st : state) : - result (state & betree_be_tree_t) - = - begin match betree_node_id_counter_new_fwd with - | Fail -> Fail - | Return node_id_cnt -> - begin match betree_node_id_counter_fresh_id_fwd node_id_cnt with - | Fail -> Fail - | Return id -> - begin match betree_store_leaf_node_fwd id BetreeListNil st with - | Fail -> Fail - | Return (st0, _) -> - begin match betree_node_id_counter_fresh_id_back node_id_cnt with - | Fail -> Fail - | Return node_id_cnt0 -> - Return (st0, Mkbetree_be_tree_t (Mkbetree_params_t min_flush_size - split_size) node_id_cnt0 (BetreeNodeLeaf (Mkbetree_leaf_t id 0))) - end - end - end - end - -(** [betree_main::betree::BeTree::{6}::apply] *) -let betree_be_tree_apply_fwd - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : - result (state & unit) - = - begin match - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st with - | Fail -> Fail - | Return (st0, _) -> - begin match - betree_node_apply_back'a self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st - st0 with - | Fail -> Fail - | Return (st1, (_, _)) -> - begin match - betree_node_apply_back1 self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st - st1 with - | Fail -> Fail - | Return (st2, ()) -> Return (st2, ()) - end - end - end - -(** [betree_main::betree::BeTree::{6}::apply] *) -let betree_be_tree_apply_back - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) - (st0 : state) : - result (state & betree_be_tree_t) - = - begin match - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_node_apply_back'a self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st - st1 with - | Fail -> Fail - | Return (st2, (n, nic)) -> - begin match - betree_node_apply_back1 self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st - st2 with - | Fail -> Fail - | Return (_, ()) -> - Return (st0, Mkbetree_be_tree_t self.betree_be_tree_params nic n) - end - end - end - -(** [betree_main::betree::BeTree::{6}::insert] *) -let betree_be_tree_insert_fwd - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : - result (state & unit) - = - begin match betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st - with - | Fail -> Fail - | Return (st0, _) -> - begin match - betree_be_tree_apply_back self key (BetreeMessageInsert value) st st0 - with - | Fail -> Fail - | Return (st1, _) -> Return (st1, ()) - end - end - -(** [betree_main::betree::BeTree::{6}::insert] *) -let betree_be_tree_insert_back - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) - (st0 : state) : - result (state & betree_be_tree_t) - = - begin match betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st - with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_be_tree_apply_back self key (BetreeMessageInsert value) st st1 - with - | Fail -> Fail - | Return (_, self0) -> Return (st0, self0) - end - end - -(** [betree_main::betree::BeTree::{6}::delete] *) -let betree_be_tree_delete_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : result (state & unit) = - begin match betree_be_tree_apply_fwd self key BetreeMessageDelete st with - | Fail -> Fail - | Return (st0, _) -> - begin match betree_be_tree_apply_back self key BetreeMessageDelete st st0 - with - | Fail -> Fail - | Return (st1, _) -> Return (st1, ()) - end - end - -(** [betree_main::betree::BeTree::{6}::delete] *) -let betree_be_tree_delete_back - (self : betree_be_tree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_be_tree_t) - = - begin match betree_be_tree_apply_fwd self key BetreeMessageDelete st with - | Fail -> Fail - | Return (st1, _) -> - begin match betree_be_tree_apply_back self key BetreeMessageDelete st st1 - with - | Fail -> Fail - | Return (_, self0) -> Return (st0, self0) - end - end - -(** [betree_main::betree::BeTree::{6}::upsert] *) -let betree_be_tree_upsert_fwd - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) - (st : state) : - result (state & unit) - = - begin match betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st - with - | Fail -> Fail - | Return (st0, _) -> - begin match - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st st0 with - | Fail -> Fail - | Return (st1, _) -> Return (st1, ()) - end - end - -(** [betree_main::betree::BeTree::{6}::upsert] *) -let betree_be_tree_upsert_back - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) - (st : state) (st0 : state) : - result (state & betree_be_tree_t) - = - begin match betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st - with - | Fail -> Fail - | Return (st1, _) -> - begin match - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st st1 with - | Fail -> Fail - | Return (_, self0) -> Return (st0, self0) - end - end - -(** [betree_main::betree::BeTree::{6}::lookup] *) -let betree_be_tree_lookup_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : - result (state & (option u64)) - = - begin match betree_node_lookup_fwd self.betree_be_tree_root key st with - | Fail -> Fail - | Return (st0, opt) -> Return (st0, opt) - end - -(** [betree_main::betree::BeTree::{6}::lookup] *) -let betree_be_tree_lookup_back - (self : betree_be_tree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_be_tree_t) - = - begin match betree_node_lookup_back self.betree_be_tree_root key st st0 with - | Fail -> Fail - | Return (st1, n) -> - Return (st1, Mkbetree_be_tree_t self.betree_be_tree_params - self.betree_be_tree_node_id_cnt n) - end - -(** [betree_main::main] *) -let main_fwd : result unit = Return () - -(** Unit test for [betree_main::main] *) -let _ = assert_norm (main_fwd = Return ()) - -- cgit v1.2.3