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authorSon Ho2023-12-22 23:23:30 +0100
committerSon Ho2023-12-22 23:23:30 +0100
commita0c58326c43a7a8026b3d4c158017bf126180e90 (patch)
tree504577e3014997388a0e9c736998df877d1c1674 /tests/fstar-split/betree/BetreeMain.Funs.fst
parent9a8e43df626400aacdfcb9d2cf2eec38d71d2d73 (diff)
Regenerate the test files and add the fstar-split tests
Diffstat (limited to '')
-rw-r--r--tests/fstar-split/betree/BetreeMain.Funs.fst1011
1 files changed, 1011 insertions, 0 deletions
diff --git a/tests/fstar-split/betree/BetreeMain.Funs.fst b/tests/fstar-split/betree/BetreeMain.Funs.fst
new file mode 100644
index 00000000..6890488a
--- /dev/null
+++ b/tests/fstar-split/betree/BetreeMain.Funs.fst
@@ -0,0 +1,1011 @@
+(** 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]: forward function
+ 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]: forward function
+ 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)
+ =
+ let* (st1, _) = betree_utils_store_internal_node id content st in
+ Return (st1, ())
+
+(** [betree_main::betree::load_leaf_node]: forward function
+ 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]: forward function
+ 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)
+ =
+ let* (st1, _) = betree_utils_store_leaf_node id content st in
+ Return (st1, ())
+
+(** [betree_main::betree::fresh_node_id]: forward function
+ Source: 'src/betree.rs', lines 55:0-55:48 *)
+let betree_fresh_node_id (counter : u64) : result u64 =
+ let* _ = u64_add counter 1 in Return counter
+
+(** [betree_main::betree::fresh_node_id]: backward function 0
+ Source: 'src/betree.rs', lines 55:0-55:48 *)
+let betree_fresh_node_id_back (counter : u64) : result u64 =
+ u64_add counter 1
+
+(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: forward function
+ Source: 'src/betree.rs', lines 206:4-206:20 *)
+let betree_NodeIdCounter_new : result betree_NodeIdCounter_t =
+ Return { next_node_id = 0 }
+
+(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: forward function
+ Source: 'src/betree.rs', lines 210:4-210:36 *)
+let betree_NodeIdCounter_fresh_id
+ (self : betree_NodeIdCounter_t) : result u64 =
+ let* _ = u64_add self.next_node_id 1 in Return self.next_node_id
+
+(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0
+ Source: 'src/betree.rs', lines 210:4-210:36 *)
+let betree_NodeIdCounter_fresh_id_back
+ (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t =
+ let* i = u64_add self.next_node_id 1 in Return { next_node_id = i }
+
+(** [betree_main::betree::upsert_update]: forward function
+ 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 -> Return v
+ | Betree_UpsertFunState_Sub _ -> Return 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 Return core_u64_max
+ | Betree_UpsertFunState_Sub v ->
+ if prev1 >= v then u64_sub prev1 v else Return 0
+ end
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: forward function
+ 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 -> Return 0
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: forward function
+ 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 Return (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
+ let l = ls0 in
+ Return (Betree_List_Cons hd l, ls1)
+ | Betree_List_Nil -> Fail Failure
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<T>#1}::push_front]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ 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
+ let l = tl in
+ Return (Betree_List_Cons x l)
+
+(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function
+ Source: 'src/betree.rs', lines 306:4-306:32 *)
+let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t =
+ let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in
+ begin match ls with
+ | Betree_List_Cons x _ -> Return x
+ | Betree_List_Nil -> Fail Failure
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: backward function 0
+ Source: 'src/betree.rs', lines 306:4-306:32 *)
+let betree_List_pop_front_back
+ (t : Type0) (self : betree_List_t t) : result (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 _ tl -> Return tl
+ | Betree_List_Nil -> Fail Failure
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: forward function
+ 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 _ -> Return hd
+ | Betree_List_Nil -> Fail Failure
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: forward function
+ Source: 'src/betree.rs', lines 327:4-327:44 *)
+let betree_ListTupleU64T_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 Return (i = key)
+ | Betree_List_Nil -> Return false
+ end
+
+(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: forward function
+ Source: 'src/betree.rs', lines 339:4-339:73 *)
+let rec betree_ListTupleU64T_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_ListTupleU64T_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 Return (Betree_List_Nil, Betree_List_Cons (i, x) tl)
+ else
+ let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in
+ let (ls0, ls1) = p in
+ let l = ls0 in
+ Return (Betree_List_Cons (i, x) l, ls1)
+ | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil)
+ end
+
+(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: forward function
+ 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)
+ =
+ 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 = betree_NodeIdCounter_fresh_id node_id_cnt in
+ let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in
+ let* id1 = 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
+ Return (st2, { id = self.id; pivot = pivot; left = n; right = n1 })
+
+(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2
+ Source: 'src/betree.rs', lines 359:4-364:17 *)
+let betree_Leaf_split_back
+ (self : betree_Leaf_t) (content : betree_List_t (u64 & u64))
+ (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t)
+ (st : state) :
+ result betree_NodeIdCounter_t
+ =
+ let* p = betree_List_split_at (u64 & u64) content params.split_size in
+ let (content0, content1) = p in
+ let* _ = betree_List_hd (u64 & u64) content1 in
+ let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in
+ let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in
+ let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt1 in
+ let* (st1, _) = betree_store_leaf_node id0 content0 st in
+ let* _ = betree_store_leaf_node id1 content1 st1 in
+ betree_NodeIdCounter_fresh_id_back node_id_cnt1
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: forward function
+ 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)))
+ (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 Return (Betree_List_Cons (i, m) next_msgs)
+ else betree_Node_lookup_first_message_for_key key next_msgs
+ | Betree_List_Nil -> Return Betree_List_Nil
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: backward function 0
+ Source: 'src/betree.rs', lines 789:4-792:34 *)
+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
+ | Betree_List_Cons x next_msgs ->
+ let (i, m) = x in
+ if i >= key
+ then Return ret
+ else
+ let* next_msgs1 =
+ betree_Node_lookup_first_message_for_key_back key next_msgs ret in
+ Return (Betree_List_Cons (i, m) next_msgs1)
+ | Betree_List_Nil -> Return ret
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: forward function
+ 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 Return (Some i1)
+ else if i > key then Return None else betree_Node_lookup_in_bindings key tl
+ | Betree_List_Nil -> Return None
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: forward function
+ 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) (st : state) :
+ Tot (result (state & u64))
+ (decreases (betree_Node_apply_upserts_decreases msgs prev key st))
+ =
+ let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in
+ if b
+ then
+ let* msg = 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
+ let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in
+ betree_Node_apply_upserts msgs1 (Some v) key st
+ end
+ else
+ let* (st1, v) = core_option_Option_unwrap u64 prev st in
+ let* _ =
+ betree_List_push_front (u64 & betree_Message_t) msgs (key,
+ Betree_Message_Insert v) in
+ Return (st1, v)
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0
+ Source: 'src/betree.rs', lines 819:4-819:90 *)
+let rec betree_Node_apply_upserts_back
+ (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64)
+ (key : u64) (st : state) :
+ Tot (result (betree_List_t (u64 & betree_Message_t)))
+ (decreases (betree_Node_apply_upserts_decreases msgs prev key st))
+ =
+ let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in
+ if b
+ then
+ let* msg = 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
+ let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in
+ betree_Node_apply_upserts_back msgs1 (Some v) key st
+ end
+ else
+ let* (_, v) = core_option_Option_unwrap u64 prev st in
+ betree_List_push_front (u64 & betree_Message_t) msgs (key,
+ Betree_Message_Insert v)
+
+(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: forward function
+ 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)))
+ (decreases (betree_Internal_lookup_in_children_decreases self key st))
+ =
+ if key < self.pivot
+ then betree_Node_lookup self.left key st
+ else betree_Node_lookup self.right key st
+
+(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0
+ Source: 'src/betree.rs', lines 395:4-395:63 *)
+and betree_Internal_lookup_in_children_back
+ (self : betree_Internal_t) (key : u64) (st : state) :
+ Tot (result betree_Internal_t)
+ (decreases (betree_Internal_lookup_in_children_decreases self key st))
+ =
+ if key < self.pivot
+ then
+ let* n = betree_Node_lookup_back self.left key st in
+ Return { self with left = n }
+ else
+ let* n = betree_Node_lookup_back self.right key st in
+ Return { self with right = n }
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: forward function
+ 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)))
+ (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 = 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) = betree_Internal_lookup_in_children node key st1 in
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs
+ (Betree_List_Cons (k, msg) l) in
+ Return (st2, o)
+ else
+ begin match msg with
+ | Betree_Message_Insert v ->
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs
+ (Betree_List_Cons (k, Betree_Message_Insert v) l) in
+ Return (st1, Some v)
+ | Betree_Message_Delete ->
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs
+ (Betree_List_Cons (k, Betree_Message_Delete) l) in
+ Return (st1, None)
+ | Betree_Message_Upsert ufs ->
+ let* (st2, v) = betree_Internal_lookup_in_children node key st1 in
+ let* (st3, v1) =
+ betree_Node_apply_upserts (Betree_List_Cons (k,
+ Betree_Message_Upsert ufs) l) v key st2 in
+ let* node1 = betree_Internal_lookup_in_children_back node key st1 in
+ let* pending1 =
+ betree_Node_apply_upserts_back (Betree_List_Cons (k,
+ Betree_Message_Upsert ufs) l) v key st2 in
+ let* msgs1 =
+ betree_Node_lookup_first_message_for_key_back key msgs pending1 in
+ let* (st4, _) = betree_store_internal_node node1.id msgs1 st3 in
+ Return (st4, Some v1)
+ end
+ | Betree_List_Nil ->
+ let* (st2, o) = betree_Internal_lookup_in_children node key st1 in
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil
+ in
+ Return (st2, o)
+ 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
+ Return (st1, o)
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0
+ Source: 'src/betree.rs', lines 709:4-709:58 *)
+and betree_Node_lookup_back
+ (self : betree_Node_t) (key : u64) (st : state) :
+ Tot (result 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 = 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* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs
+ (Betree_List_Cons (k, msg) l) in
+ let* node1 = betree_Internal_lookup_in_children_back node key st1 in
+ Return (Betree_Node_Internal node1)
+ else
+ begin match msg with
+ | Betree_Message_Insert v ->
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs
+ (Betree_List_Cons (k, Betree_Message_Insert v) l) in
+ Return (Betree_Node_Internal node)
+ | Betree_Message_Delete ->
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs
+ (Betree_List_Cons (k, Betree_Message_Delete) l) in
+ Return (Betree_Node_Internal node)
+ | Betree_Message_Upsert ufs ->
+ let* (st2, v) = betree_Internal_lookup_in_children node key st1 in
+ let* (st3, _) =
+ betree_Node_apply_upserts (Betree_List_Cons (k,
+ Betree_Message_Upsert ufs) l) v key st2 in
+ let* node1 = betree_Internal_lookup_in_children_back node key st1 in
+ let* pending1 =
+ betree_Node_apply_upserts_back (Betree_List_Cons (k,
+ Betree_Message_Upsert ufs) l) v key st2 in
+ let* msgs1 =
+ betree_Node_lookup_first_message_for_key_back key msgs pending1 in
+ let* _ = betree_store_internal_node node1.id msgs1 st3 in
+ Return (Betree_Node_Internal node1)
+ end
+ | Betree_List_Nil ->
+ let* _ =
+ betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil
+ in
+ let* node1 = betree_Internal_lookup_in_children_back node key st1 in
+ Return (Betree_Node_Internal node1)
+ end
+ | Betree_Node_Leaf node ->
+ let* (_, bindings) = betree_load_leaf_node node.id st in
+ let* _ = betree_Node_lookup_in_bindings key bindings in
+ Return (Betree_Node_Leaf node)
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ 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_back (u64 & betree_Message_t) (Betree_List_Cons
+ (k, m) l) in
+ betree_Node_filter_messages_for_key key msgs1
+ else Return (Betree_List_Cons (k, m) l)
+ | Betree_List_Nil -> Return Betree_List_Nil
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: forward function
+ 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)))
+ (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 betree_Node_lookup_first_message_after_key key next_msgs
+ else Return (Betree_List_Cons (k, m) next_msgs)
+ | Betree_List_Nil -> Return Betree_List_Nil
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: backward function 0
+ Source: 'src/betree.rs', lines 689:4-692:34 *)
+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
+ | Betree_List_Cons p next_msgs ->
+ let (k, m) = p in
+ if k = key
+ then
+ let* next_msgs1 =
+ betree_Node_lookup_first_message_after_key_back key next_msgs ret in
+ Return (Betree_List_Cons (k, m) next_msgs1)
+ else Return ret
+ | Betree_List_Nil -> Return ret
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_internal]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ 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 = betree_Node_lookup_first_message_for_key key msgs in
+ let* b = betree_ListTupleU64T_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
+ betree_Node_lookup_first_message_for_key_back key msgs 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
+ betree_Node_lookup_first_message_for_key_back key msgs 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_back (u64 & betree_Message_t) msgs1
+ in
+ let* msgs3 =
+ betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
+ Betree_Message_Insert v) in
+ betree_Node_lookup_first_message_for_key_back key msgs msgs3
+ | Betree_Message_Delete ->
+ let* v = betree_upsert_update None s in
+ let* msgs2 = betree_List_pop_front_back (u64 & betree_Message_t) msgs1
+ in
+ let* msgs3 =
+ betree_List_push_front (u64 & betree_Message_t) msgs2 (key,
+ Betree_Message_Insert v) in
+ betree_Node_lookup_first_message_for_key_back key msgs msgs3
+ | Betree_Message_Upsert _ ->
+ let* msgs2 = 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 =
+ betree_Node_lookup_first_message_after_key_back key msgs1 msgs3 in
+ betree_Node_lookup_first_message_for_key_back key msgs msgs4
+ end
+ end
+ else
+ let* msgs2 =
+ betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in
+ betree_Node_lookup_first_message_for_key_back key msgs msgs2
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ 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 -> Return msgs
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: forward function
+ 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)))
+ (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 Return (Betree_List_Cons (i, i1) tl)
+ else betree_Node_lookup_mut_in_bindings key tl
+ | Betree_List_Nil -> Return Betree_List_Nil
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: backward function 0
+ Source: 'src/betree.rs', lines 653:4-656:32 *)
+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
+ | Betree_List_Cons hd tl ->
+ let (i, i1) = hd in
+ if i >= key
+ then Return ret
+ else
+ let* tl1 = betree_Node_lookup_mut_in_bindings_back key tl ret in
+ Return (Betree_List_Cons (i, i1) tl1)
+ | Betree_List_Nil -> Return ret
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_leaf]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ 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 = betree_Node_lookup_mut_in_bindings key bindings in
+ let* b = betree_ListTupleU64T_head_has_key u64 bindings1 key in
+ if b
+ then
+ let* hd = betree_List_pop_front (u64 & u64) bindings1 in
+ begin match new_msg with
+ | Betree_Message_Insert v ->
+ let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in
+ let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in
+ betree_Node_lookup_mut_in_bindings_back key bindings bindings3
+ | Betree_Message_Delete ->
+ let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in
+ betree_Node_lookup_mut_in_bindings_back key bindings bindings2
+ | Betree_Message_Upsert s ->
+ let (_, i) = hd in
+ let* v = betree_upsert_update (Some i) s in
+ let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in
+ let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in
+ betree_Node_lookup_mut_in_bindings_back key bindings bindings3
+ end
+ else
+ begin match new_msg with
+ | Betree_Message_Insert v ->
+ let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in
+ betree_Node_lookup_mut_in_bindings_back key bindings bindings2
+ | Betree_Message_Delete ->
+ betree_Node_lookup_mut_in_bindings_back key bindings 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
+ betree_Node_lookup_mut_in_bindings_back key bindings bindings2
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ 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 -> Return bindings
+ end
+
+(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: forward function
+ 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))))
+ (decreases (
+ betree_Internal_flush_decreases self params node_id_cnt content st))
+ =
+ let* p =
+ betree_ListTupleU64T_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, _) =
+ betree_Node_apply_messages self.left params node_id_cnt msgs_left st in
+ let* (_, node_id_cnt1) =
+ betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st
+ in
+ let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in
+ if len_right >= params.min_flush_size
+ then
+ let* (st2, _) =
+ betree_Node_apply_messages self.right params node_id_cnt1 msgs_right
+ st1 in
+ let* _ =
+ betree_Node_apply_messages_back self.right params node_id_cnt1
+ msgs_right st1 in
+ Return (st2, Betree_List_Nil)
+ else Return (st1, msgs_right)
+ else
+ let* (st1, _) =
+ betree_Node_apply_messages self.right params node_id_cnt msgs_right st in
+ let* _ =
+ betree_Node_apply_messages_back self.right params node_id_cnt msgs_right
+ st in
+ Return (st1, msgs_left)
+
+(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0
+ Source: 'src/betree.rs', lines 410:4-415:26 *)
+and betree_Internal_flush_back
+ (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 (betree_Internal_t & betree_NodeIdCounter_t))
+ (decreases (
+ betree_Internal_flush_decreases self params node_id_cnt content st))
+ =
+ let* p =
+ betree_ListTupleU64T_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, _) =
+ betree_Node_apply_messages self.left params node_id_cnt msgs_left st in
+ let* (n, node_id_cnt1) =
+ betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st
+ in
+ let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in
+ if len_right >= params.min_flush_size
+ then
+ let* (n1, node_id_cnt2) =
+ betree_Node_apply_messages_back self.right params node_id_cnt1
+ msgs_right st1 in
+ Return ({ self with left = n; right = n1 }, node_id_cnt2)
+ else Return ({ self with left = n }, node_id_cnt1)
+ else
+ let* (n, node_id_cnt1) =
+ betree_Node_apply_messages_back self.right params node_id_cnt msgs_right
+ st in
+ Return ({ self with right = n }, node_id_cnt1)
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: forward function
+ 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 & unit))
+ (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) =
+ betree_Internal_flush node params node_id_cnt content1 st1 in
+ let* (node1, _) =
+ betree_Internal_flush_back node params node_id_cnt content1 st1 in
+ let* (st3, _) = betree_store_internal_node node1.id content2 st2 in
+ Return (st3, ())
+ else
+ let* (st2, _) = betree_store_internal_node node.id content1 st1 in
+ Return (st2, ())
+ | 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, _) = betree_Leaf_split node content1 params node_id_cnt st1 in
+ let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in
+ Return (st3, ())
+ else
+ let* (st2, _) = betree_store_leaf_node node.id content1 st1 in
+ Return (st2, ())
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0
+ Source: 'src/betree.rs', lines 588:4-593:5 *)
+and betree_Node_apply_messages_back
+ (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 (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) =
+ betree_Internal_flush node params node_id_cnt content1 st1 in
+ let* (node1, node_id_cnt1) =
+ betree_Internal_flush_back node params node_id_cnt content1 st1 in
+ let* _ = betree_store_internal_node node1.id content2 st2 in
+ Return (Betree_Node_Internal node1, node_id_cnt1)
+ else
+ let* _ = betree_store_internal_node node.id content1 st1 in
+ Return (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) =
+ betree_Leaf_split node content1 params node_id_cnt st1 in
+ let* _ = betree_store_leaf_node node.id Betree_List_Nil st2 in
+ let* node_id_cnt1 =
+ betree_Leaf_split_back node content1 params node_id_cnt st1 in
+ Return (Betree_Node_Internal new_node, node_id_cnt1)
+ else
+ let* _ = betree_store_leaf_node node.id content1 st1 in
+ Return (Betree_Node_Leaf { node with size = len }, node_id_cnt)
+ end
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: forward function
+ 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 & unit)
+ =
+ let l = Betree_List_Nil in
+ let* (st1, _) =
+ betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key,
+ new_msg) l) st in
+ let* _ =
+ betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons
+ (key, new_msg) l) st in
+ Return (st1, ())
+
+(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 0
+ Source: 'src/betree.rs', lines 576:4-582:5 *)
+let betree_Node_apply_back
+ (self : betree_Node_t) (params : betree_Params_t)
+ (node_id_cnt : betree_NodeIdCounter_t) (key : u64)
+ (new_msg : betree_Message_t) (st : state) :
+ result (betree_Node_t & betree_NodeIdCounter_t)
+ =
+ let l = Betree_List_Nil in
+ betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons
+ (key, new_msg) l) st
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: forward function
+ 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 = betree_NodeIdCounter_fresh_id node_id_cnt in
+ let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in
+ let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in
+ Return (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]: forward function
+ 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 & unit)
+ =
+ let* (st1, _) =
+ betree_Node_apply self.root self.params self.node_id_cnt key msg st in
+ let* _ =
+ betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in
+ Return (st1, ())
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0
+ Source: 'src/betree.rs', lines 868:4-868:47 *)
+let betree_BeTree_apply_back
+ (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) :
+ result betree_BeTree_t
+ =
+ let* (n, nic) =
+ betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in
+ Return { self with node_id_cnt = nic; root = n }
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: forward function
+ 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 & unit)
+ =
+ let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st
+ in
+ let* _ = betree_BeTree_apply_back self key (Betree_Message_Insert value) st
+ in
+ Return (st1, ())
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0
+ Source: 'src/betree.rs', lines 874:4-874:52 *)
+let betree_BeTree_insert_back
+ (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) :
+ result betree_BeTree_t
+ =
+ betree_BeTree_apply_back self key (Betree_Message_Insert value) st
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: forward function
+ Source: 'src/betree.rs', lines 880:4-880:38 *)
+let betree_BeTree_delete
+ (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) =
+ let* (st1, _) = betree_BeTree_apply self key Betree_Message_Delete st in
+ let* _ = betree_BeTree_apply_back self key Betree_Message_Delete st in
+ Return (st1, ())
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0
+ Source: 'src/betree.rs', lines 880:4-880:38 *)
+let betree_BeTree_delete_back
+ (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t =
+ betree_BeTree_apply_back self key Betree_Message_Delete st
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function
+ 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 & unit)
+ =
+ let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st
+ in
+ let* _ = betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st in
+ Return (st1, ())
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0
+ Source: 'src/betree.rs', lines 886:4-886:59 *)
+let betree_BeTree_upsert_back
+ (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t)
+ (st : state) :
+ result betree_BeTree_t
+ =
+ betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: forward function
+ 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_Node_lookup self.root key st
+
+(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0
+ Source: 'src/betree.rs', lines 895:4-895:62 *)
+let betree_BeTree_lookup_back
+ (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t =
+ let* n = betree_Node_lookup_back self.root key st in
+ Return { self with root = n }
+
+(** [betree_main::main]: forward function
+ Source: 'src/betree_main.rs', lines 5:0-5:9 *)
+let main : result unit =
+ Return ()
+
+(** Unit test for [betree_main::main] *)
+let _ = assert_norm (main = Return ())
+