diff options
Diffstat (limited to 'tests/coq/betree/Betree_Funs.v')
| -rw-r--r-- | tests/coq/betree/Betree_Funs.v | 837 |
1 files changed, 837 insertions, 0 deletions
diff --git a/tests/coq/betree/Betree_Funs.v b/tests/coq/betree/Betree_Funs.v new file mode 100644 index 00000000..b965d423 --- /dev/null +++ b/tests/coq/betree/Betree_Funs.v @@ -0,0 +1,837 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree]: function definitions *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import Betree_Types. +Include Betree_Types. +Require Import Betree_FunsExternal. +Include Betree_FunsExternal. +Module Betree_Funs. + +(** [betree::betree::load_internal_node]: + Source: 'src/betree.rs', lines 36:0-36:52 *) +Definition betree_load_internal_node + (id : u64) (st : state) : + result (state * (betree_List_t (u64 * betree_Message_t))) + := + betree_utils_load_internal_node id st +. + +(** [betree::betree::store_internal_node]: + Source: 'src/betree.rs', lines 41:0-41:60 *) +Definition betree_store_internal_node + (id : u64) (content : betree_List_t (u64 * betree_Message_t)) (st : state) : + result (state * unit) + := + betree_utils_store_internal_node id content st +. + +(** [betree::betree::load_leaf_node]: + Source: 'src/betree.rs', lines 46:0-46:44 *) +Definition betree_load_leaf_node + (id : u64) (st : state) : result (state * (betree_List_t (u64 * u64))) := + betree_utils_load_leaf_node id st +. + +(** [betree::betree::store_leaf_node]: + Source: 'src/betree.rs', lines 51:0-51:52 *) +Definition betree_store_leaf_node + (id : u64) (content : betree_List_t (u64 * u64)) (st : state) : + result (state * unit) + := + betree_utils_store_leaf_node id content st +. + +(** [betree::betree::fresh_node_id]: + Source: 'src/betree.rs', lines 55:0-55:48 *) +Definition betree_fresh_node_id (counter : u64) : result (u64 * u64) := + counter1 <- u64_add counter 1%u64; Ok (counter, counter1) +. + +(** [betree::betree::{betree::betree::NodeIdCounter}::new]: + Source: 'src/betree.rs', lines 206:4-206:20 *) +Definition betree_NodeIdCounter_new : result betree_NodeIdCounter_t := + Ok {| betree_NodeIdCounter_next_node_id := 0%u64 |} +. + +(** [betree::betree::{betree::betree::NodeIdCounter}::fresh_id]: + Source: 'src/betree.rs', lines 210:4-210:36 *) +Definition betree_NodeIdCounter_fresh_id + (self : betree_NodeIdCounter_t) : result (u64 * betree_NodeIdCounter_t) := + i <- u64_add self.(betree_NodeIdCounter_next_node_id) 1%u64; + Ok (self.(betree_NodeIdCounter_next_node_id), + {| betree_NodeIdCounter_next_node_id := i |}) +. + +(** [betree::betree::upsert_update]: + Source: 'src/betree.rs', lines 234:0-234:70 *) +Definition betree_upsert_update + (prev : option u64) (st : betree_UpsertFunState_t) : result u64 := + match prev with + | None => + match st with + | Betree_UpsertFunState_Add v => Ok v + | Betree_UpsertFunState_Sub _ => Ok 0%u64 + end + | Some prev1 => + match st with + | Betree_UpsertFunState_Add v => + margin <- u64_sub core_u64_max prev1; + if margin s>= v then u64_add prev1 v else Ok core_u64_max + | Betree_UpsertFunState_Sub v => + if prev1 s>= v then u64_sub prev1 v else Ok 0%u64 + end + end +. + +(** [betree::betree::{betree::betree::List<T>#1}::len]: + Source: 'src/betree.rs', lines 276:4-276:24 *) +Fixpoint betree_List_len + (T : Type) (n : nat) (self : betree_List_t T) : result u64 := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match self with + | Betree_List_Cons _ tl => i <- betree_List_len T n1 tl; u64_add 1%u64 i + | Betree_List_Nil => Ok 0%u64 + end + end +. + +(** [betree::betree::{betree::betree::List<T>#1}::split_at]: + Source: 'src/betree.rs', lines 284:4-284:51 *) +Fixpoint betree_List_split_at + (T : Type) (n : nat) (self : betree_List_t T) (n1 : u64) : + result ((betree_List_t T) * (betree_List_t T)) + := + match n with + | O => Fail_ OutOfFuel + | S n2 => + if n1 s= 0%u64 + then Ok (Betree_List_Nil, self) + else + match self with + | Betree_List_Cons hd tl => + i <- u64_sub n1 1%u64; + p <- betree_List_split_at T n2 tl i; + let (ls0, ls1) := p in + Ok (Betree_List_Cons hd ls0, ls1) + | Betree_List_Nil => Fail_ Failure + end + end +. + +(** [betree::betree::{betree::betree::List<T>#1}::push_front]: + Source: 'src/betree.rs', lines 299:4-299:34 *) +Definition betree_List_push_front + (T : Type) (self : betree_List_t T) (x : T) : result (betree_List_t T) := + let (tl, _) := core_mem_replace (betree_List_t T) self Betree_List_Nil in + Ok (Betree_List_Cons x tl) +. + +(** [betree::betree::{betree::betree::List<T>#1}::pop_front]: + Source: 'src/betree.rs', lines 306:4-306:32 *) +Definition betree_List_pop_front + (T : Type) (self : betree_List_t T) : result (T * (betree_List_t T)) := + let (ls, _) := core_mem_replace (betree_List_t T) self Betree_List_Nil in + match ls with + | Betree_List_Cons x tl => Ok (x, tl) + | Betree_List_Nil => Fail_ Failure + end +. + +(** [betree::betree::{betree::betree::List<T>#1}::hd]: + Source: 'src/betree.rs', lines 318:4-318:22 *) +Definition betree_List_hd (T : Type) (self : betree_List_t T) : result T := + match self with + | Betree_List_Cons hd _ => Ok hd + | Betree_List_Nil => Fail_ Failure + end +. + +(** [betree::betree::{betree::betree::List<(u64, T)>#2}::head_has_key]: + Source: 'src/betree.rs', lines 327:4-327:44 *) +Definition betree_ListPairU64T_head_has_key + (T : Type) (self : betree_List_t (u64 * T)) (key : u64) : result bool := + match self with + | Betree_List_Cons hd _ => let (i, _) := hd in Ok (i s= key) + | Betree_List_Nil => Ok false + end +. + +(** [betree::betree::{betree::betree::List<(u64, T)>#2}::partition_at_pivot]: + Source: 'src/betree.rs', lines 339:4-339:73 *) +Fixpoint betree_ListPairU64T_partition_at_pivot + (T : Type) (n : nat) (self : betree_List_t (u64 * T)) (pivot : u64) : + result ((betree_List_t (u64 * T)) * (betree_List_t (u64 * T))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match self with + | Betree_List_Cons hd tl => + let (i, t) := hd in + if i s>= pivot + then Ok (Betree_List_Nil, Betree_List_Cons (i, t) tl) + else ( + p <- betree_ListPairU64T_partition_at_pivot T n1 tl pivot; + let (ls0, ls1) := p in + Ok (Betree_List_Cons (i, t) ls0, ls1)) + | Betree_List_Nil => Ok (Betree_List_Nil, Betree_List_Nil) + end + end +. + +(** [betree::betree::{betree::betree::Leaf#3}::split]: + Source: 'src/betree.rs', lines 359:4-364:17 *) +Definition betree_Leaf_split + (n : nat) (self : betree_Leaf_t) (content : betree_List_t (u64 * u64)) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (st : state) : + result (state * (betree_Internal_t * betree_NodeIdCounter_t)) + := + p <- + betree_List_split_at (u64 * u64) n content + params.(betree_Params_split_size); + let (content0, content1) := p in + p1 <- betree_List_hd (u64 * u64) content1; + let (pivot, _) := p1 in + p2 <- betree_NodeIdCounter_fresh_id node_id_cnt; + let (id0, node_id_cnt1) := p2 in + p3 <- betree_NodeIdCounter_fresh_id node_id_cnt1; + let (id1, node_id_cnt2) := p3 in + p4 <- betree_store_leaf_node id0 content0 st; + let (st1, _) := p4 in + p5 <- betree_store_leaf_node id1 content1 st1; + let (st2, _) := p5 in + let n1 := Betree_Node_Leaf + {| + betree_Leaf_id := id0; + betree_Leaf_size := params.(betree_Params_split_size) + |} in + let n2 := Betree_Node_Leaf + {| + betree_Leaf_id := id1; + betree_Leaf_size := params.(betree_Params_split_size) + |} in + Ok (st2, (mkbetree_Internal_t self.(betree_Leaf_id) pivot n1 n2, + node_id_cnt2)) +. + +(** [betree::betree::{betree::betree::Node#5}::lookup_first_message_for_key]: + Source: 'src/betree.rs', lines 789:4-792:34 *) +Fixpoint betree_Node_lookup_first_message_for_key + (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) : + result ((betree_List_t (u64 * betree_Message_t)) * (betree_List_t (u64 * + betree_Message_t) -> result (betree_List_t (u64 * betree_Message_t)))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match msgs with + | Betree_List_Cons x next_msgs => + let (i, m) := x in + if i s>= key + then Ok (Betree_List_Cons (i, m) next_msgs, Ok) + else ( + p <- betree_Node_lookup_first_message_for_key n1 key next_msgs; + let (l, lookup_first_message_for_key_back) := p in + let back := + fun (ret : betree_List_t (u64 * betree_Message_t)) => + next_msgs1 <- lookup_first_message_for_key_back ret; + Ok (Betree_List_Cons (i, m) next_msgs1) in + Ok (l, back)) + | Betree_List_Nil => Ok (Betree_List_Nil, Ok) + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::lookup_in_bindings]: + Source: 'src/betree.rs', lines 636:4-636:80 *) +Fixpoint betree_Node_lookup_in_bindings + (n : nat) (key : u64) (bindings : betree_List_t (u64 * u64)) : + result (option u64) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match bindings with + | Betree_List_Cons hd tl => + let (i, i1) := hd in + if i s= key + then Ok (Some i1) + else + if i s> key then Ok None else betree_Node_lookup_in_bindings n1 key tl + | Betree_List_Nil => Ok None + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::apply_upserts]: + Source: 'src/betree.rs', lines 819:4-819:90 *) +Fixpoint betree_Node_apply_upserts + (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) (prev : option u64) + (key : u64) : + result (u64 * (betree_List_t (u64 * betree_Message_t))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + b <- betree_ListPairU64T_head_has_key betree_Message_t msgs key; + if b + then ( + p <- betree_List_pop_front (u64 * betree_Message_t) msgs; + let (msg, msgs1) := p in + let (_, m) := msg in + match m with + | Betree_Message_Insert _ => Fail_ Failure + | Betree_Message_Delete => Fail_ Failure + | Betree_Message_Upsert s => + v <- betree_upsert_update prev s; + betree_Node_apply_upserts n1 msgs1 (Some v) key + end) + else ( + v <- core_option_Option_unwrap u64 prev; + msgs1 <- + betree_List_push_front (u64 * betree_Message_t) msgs (key, + Betree_Message_Insert v); + Ok (v, msgs1)) + end +. + +(** [betree::betree::{betree::betree::Internal#4}::lookup_in_children]: + Source: 'src/betree.rs', lines 395:4-395:63 *) +Fixpoint betree_Internal_lookup_in_children + (n : nat) (self : betree_Internal_t) (key : u64) (st : state) : + result (state * ((option u64) * betree_Internal_t)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + if key s< self.(betree_Internal_pivot) + then ( + p <- betree_Node_lookup n1 self.(betree_Internal_left) key st; + let (st1, p1) := p in + let (o, n2) := p1 in + Ok (st1, (o, mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) n2 self.(betree_Internal_right)))) + else ( + p <- betree_Node_lookup n1 self.(betree_Internal_right) key st; + let (st1, p1) := p in + let (o, n2) := p1 in + Ok (st1, (o, mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) self.(betree_Internal_left) n2))) + end + +(** [betree::betree::{betree::betree::Node#5}::lookup]: + Source: 'src/betree.rs', lines 709:4-709:58 *) +with betree_Node_lookup + (n : nat) (self : betree_Node_t) (key : u64) (st : state) : + result (state * ((option u64) * betree_Node_t)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match self with + | Betree_Node_Internal node => + p <- betree_load_internal_node node.(betree_Internal_id) st; + let (st1, msgs) := p in + p1 <- betree_Node_lookup_first_message_for_key n1 key msgs; + let (pending, lookup_first_message_for_key_back) := p1 in + match pending with + | Betree_List_Cons p2 l => + let (k, msg) := p2 in + if k s<> key + then ( + p3 <- betree_Internal_lookup_in_children n1 node key st1; + let (st2, p4) := p3 in + let (o, node1) := p4 in + _ <- lookup_first_message_for_key_back (Betree_List_Cons (k, msg) l); + Ok (st2, (o, Betree_Node_Internal node1))) + else + match msg with + | Betree_Message_Insert v => + _ <- + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Insert v) l); + Ok (st1, (Some v, Betree_Node_Internal node)) + | Betree_Message_Delete => + _ <- + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Delete) l); + Ok (st1, (None, Betree_Node_Internal node)) + | Betree_Message_Upsert ufs => + p3 <- betree_Internal_lookup_in_children n1 node key st1; + let (st2, p4) := p3 in + let (v, node1) := p4 in + p5 <- + betree_Node_apply_upserts n1 (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key; + let (v1, pending1) := p5 in + msgs1 <- lookup_first_message_for_key_back pending1; + p6 <- + betree_store_internal_node node1.(betree_Internal_id) msgs1 st2; + let (st3, _) := p6 in + Ok (st3, (Some v1, Betree_Node_Internal node1)) + end + | Betree_List_Nil => + p2 <- betree_Internal_lookup_in_children n1 node key st1; + let (st2, p3) := p2 in + let (o, node1) := p3 in + _ <- lookup_first_message_for_key_back Betree_List_Nil; + Ok (st2, (o, Betree_Node_Internal node1)) + end + | Betree_Node_Leaf node => + p <- betree_load_leaf_node node.(betree_Leaf_id) st; + let (st1, bindings) := p in + o <- betree_Node_lookup_in_bindings n1 key bindings; + Ok (st1, (o, Betree_Node_Leaf node)) + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::filter_messages_for_key]: + Source: 'src/betree.rs', lines 674:4-674:77 *) +Fixpoint betree_Node_filter_messages_for_key + (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) : + result (betree_List_t (u64 * betree_Message_t)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match msgs with + | Betree_List_Cons p l => + let (k, m) := p in + if k s= key + then ( + p1 <- + betree_List_pop_front (u64 * betree_Message_t) (Betree_List_Cons (k, + m) l); + let (_, msgs1) := p1 in + betree_Node_filter_messages_for_key n1 key msgs1) + else Ok (Betree_List_Cons (k, m) l) + | Betree_List_Nil => Ok Betree_List_Nil + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::lookup_first_message_after_key]: + Source: 'src/betree.rs', lines 689:4-692:34 *) +Fixpoint betree_Node_lookup_first_message_after_key + (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) : + result ((betree_List_t (u64 * betree_Message_t)) * (betree_List_t (u64 * + betree_Message_t) -> result (betree_List_t (u64 * betree_Message_t)))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match msgs with + | Betree_List_Cons p next_msgs => + let (k, m) := p in + if k s= key + then ( + p1 <- betree_Node_lookup_first_message_after_key n1 key next_msgs; + let (l, lookup_first_message_after_key_back) := p1 in + let back := + fun (ret : betree_List_t (u64 * betree_Message_t)) => + next_msgs1 <- lookup_first_message_after_key_back ret; + Ok (Betree_List_Cons (k, m) next_msgs1) in + Ok (l, back)) + else Ok (Betree_List_Cons (k, m) next_msgs, Ok) + | Betree_List_Nil => Ok (Betree_List_Nil, Ok) + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::apply_to_internal]: + Source: 'src/betree.rs', lines 521:4-521:89 *) +Definition betree_Node_apply_to_internal + (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 * betree_Message_t)) + := + p <- betree_Node_lookup_first_message_for_key n key msgs; + let (msgs1, lookup_first_message_for_key_back) := p in + b <- betree_ListPairU64T_head_has_key betree_Message_t msgs1 key; + if b + then + match new_msg with + | Betree_Message_Insert i => + msgs2 <- betree_Node_filter_messages_for_key n key msgs1; + msgs3 <- + betree_List_push_front (u64 * betree_Message_t) msgs2 (key, + Betree_Message_Insert i); + lookup_first_message_for_key_back msgs3 + | Betree_Message_Delete => + msgs2 <- betree_Node_filter_messages_for_key n key msgs1; + msgs3 <- + betree_List_push_front (u64 * betree_Message_t) msgs2 (key, + Betree_Message_Delete); + lookup_first_message_for_key_back msgs3 + | Betree_Message_Upsert s => + p1 <- betree_List_hd (u64 * betree_Message_t) msgs1; + let (_, m) := p1 in + match m with + | Betree_Message_Insert prev => + v <- betree_upsert_update (Some prev) s; + p2 <- betree_List_pop_front (u64 * betree_Message_t) msgs1; + let (_, msgs2) := p2 in + msgs3 <- + betree_List_push_front (u64 * betree_Message_t) msgs2 (key, + Betree_Message_Insert v); + lookup_first_message_for_key_back msgs3 + | Betree_Message_Delete => + p2 <- betree_List_pop_front (u64 * betree_Message_t) msgs1; + let (_, msgs2) := p2 in + v <- betree_upsert_update None s; + msgs3 <- + betree_List_push_front (u64 * betree_Message_t) msgs2 (key, + Betree_Message_Insert v); + lookup_first_message_for_key_back msgs3 + | Betree_Message_Upsert _ => + p2 <- betree_Node_lookup_first_message_after_key n key msgs1; + let (msgs2, lookup_first_message_after_key_back) := p2 in + msgs3 <- + betree_List_push_front (u64 * betree_Message_t) msgs2 (key, + Betree_Message_Upsert s); + msgs4 <- lookup_first_message_after_key_back msgs3; + lookup_first_message_for_key_back msgs4 + end + end + else ( + msgs2 <- + betree_List_push_front (u64 * betree_Message_t) msgs1 (key, new_msg); + lookup_first_message_for_key_back msgs2) +. + +(** [betree::betree::{betree::betree::Node#5}::apply_messages_to_internal]: + Source: 'src/betree.rs', lines 502:4-505:5 *) +Fixpoint betree_Node_apply_messages_to_internal + (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) + (new_msgs : betree_List_t (u64 * betree_Message_t)) : + result (betree_List_t (u64 * betree_Message_t)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match new_msgs with + | Betree_List_Cons new_msg new_msgs_tl => + let (i, m) := new_msg in + msgs1 <- betree_Node_apply_to_internal n1 msgs i m; + betree_Node_apply_messages_to_internal n1 msgs1 new_msgs_tl + | Betree_List_Nil => Ok msgs + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::lookup_mut_in_bindings]: + Source: 'src/betree.rs', lines 653:4-656:32 *) +Fixpoint betree_Node_lookup_mut_in_bindings + (n : nat) (key : u64) (bindings : betree_List_t (u64 * u64)) : + result ((betree_List_t (u64 * u64)) * (betree_List_t (u64 * u64) -> result + (betree_List_t (u64 * u64)))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match bindings with + | Betree_List_Cons hd tl => + let (i, i1) := hd in + if i s>= key + then Ok (Betree_List_Cons (i, i1) tl, Ok) + else ( + p <- betree_Node_lookup_mut_in_bindings n1 key tl; + let (l, lookup_mut_in_bindings_back) := p in + let back := + fun (ret : betree_List_t (u64 * u64)) => + tl1 <- lookup_mut_in_bindings_back ret; + Ok (Betree_List_Cons (i, i1) tl1) in + Ok (l, back)) + | Betree_List_Nil => Ok (Betree_List_Nil, Ok) + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::apply_to_leaf]: + Source: 'src/betree.rs', lines 460:4-460:87 *) +Definition betree_Node_apply_to_leaf + (n : nat) (bindings : betree_List_t (u64 * u64)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 * u64)) + := + p <- betree_Node_lookup_mut_in_bindings n key bindings; + let (bindings1, lookup_mut_in_bindings_back) := p in + b <- betree_ListPairU64T_head_has_key u64 bindings1 key; + if b + then ( + p1 <- betree_List_pop_front (u64 * u64) bindings1; + let (hd, bindings2) := p1 in + match new_msg with + | Betree_Message_Insert v => + bindings3 <- betree_List_push_front (u64 * u64) bindings2 (key, v); + lookup_mut_in_bindings_back bindings3 + | Betree_Message_Delete => lookup_mut_in_bindings_back bindings2 + | Betree_Message_Upsert s => + let (_, i) := hd in + v <- betree_upsert_update (Some i) s; + bindings3 <- betree_List_push_front (u64 * u64) bindings2 (key, v); + lookup_mut_in_bindings_back bindings3 + end) + else + match new_msg with + | Betree_Message_Insert v => + bindings2 <- betree_List_push_front (u64 * u64) bindings1 (key, v); + lookup_mut_in_bindings_back bindings2 + | Betree_Message_Delete => lookup_mut_in_bindings_back bindings1 + | Betree_Message_Upsert s => + v <- betree_upsert_update None s; + bindings2 <- betree_List_push_front (u64 * u64) bindings1 (key, v); + lookup_mut_in_bindings_back bindings2 + end +. + +(** [betree::betree::{betree::betree::Node#5}::apply_messages_to_leaf]: + Source: 'src/betree.rs', lines 444:4-447:5 *) +Fixpoint betree_Node_apply_messages_to_leaf + (n : nat) (bindings : betree_List_t (u64 * u64)) + (new_msgs : betree_List_t (u64 * betree_Message_t)) : + result (betree_List_t (u64 * u64)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match new_msgs with + | Betree_List_Cons new_msg new_msgs_tl => + let (i, m) := new_msg in + bindings1 <- betree_Node_apply_to_leaf n1 bindings i m; + betree_Node_apply_messages_to_leaf n1 bindings1 new_msgs_tl + | Betree_List_Nil => Ok bindings + end + end +. + +(** [betree::betree::{betree::betree::Internal#4}::flush]: + Source: 'src/betree.rs', lines 410:4-415:26 *) +Fixpoint betree_Internal_flush + (n : nat) (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 * betree_Message_t)) (st : state) : + result (state * ((betree_List_t (u64 * betree_Message_t)) * + (betree_Internal_t * betree_NodeIdCounter_t))) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + p <- + betree_ListPairU64T_partition_at_pivot betree_Message_t n1 content + self.(betree_Internal_pivot); + let (msgs_left, msgs_right) := p in + len_left <- betree_List_len (u64 * betree_Message_t) n1 msgs_left; + if len_left s>= params.(betree_Params_min_flush_size) + then ( + p1 <- + betree_Node_apply_messages n1 self.(betree_Internal_left) params + node_id_cnt msgs_left st; + let (st1, p2) := p1 in + let (n2, node_id_cnt1) := p2 in + len_right <- betree_List_len (u64 * betree_Message_t) n1 msgs_right; + if len_right s>= params.(betree_Params_min_flush_size) + then ( + p3 <- + betree_Node_apply_messages n1 self.(betree_Internal_right) params + node_id_cnt1 msgs_right st1; + let (st2, p4) := p3 in + let (n3, node_id_cnt2) := p4 in + Ok (st2, (Betree_List_Nil, (mkbetree_Internal_t + self.(betree_Internal_id) self.(betree_Internal_pivot) n2 n3, + node_id_cnt2)))) + else + Ok (st1, (msgs_right, (mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) n2 self.(betree_Internal_right), + node_id_cnt1)))) + else ( + p1 <- + betree_Node_apply_messages n1 self.(betree_Internal_right) params + node_id_cnt msgs_right st; + let (st1, p2) := p1 in + let (n2, node_id_cnt1) := p2 in + Ok (st1, (msgs_left, (mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) self.(betree_Internal_left) n2, + node_id_cnt1)))) + end + +(** [betree::betree::{betree::betree::Node#5}::apply_messages]: + Source: 'src/betree.rs', lines 588:4-593:5 *) +with betree_Node_apply_messages + (n : nat) (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 * betree_Message_t)) (st : state) : + result (state * (betree_Node_t * betree_NodeIdCounter_t)) + := + match n with + | O => Fail_ OutOfFuel + | S n1 => + match self with + | Betree_Node_Internal node => + p <- betree_load_internal_node node.(betree_Internal_id) st; + let (st1, content) := p in + content1 <- betree_Node_apply_messages_to_internal n1 content msgs; + num_msgs <- betree_List_len (u64 * betree_Message_t) n1 content1; + if num_msgs s>= params.(betree_Params_min_flush_size) + then ( + p1 <- betree_Internal_flush n1 node params node_id_cnt content1 st1; + let (st2, p2) := p1 in + let (content2, p3) := p2 in + let (node1, node_id_cnt1) := p3 in + p4 <- + betree_store_internal_node node1.(betree_Internal_id) content2 st2; + let (st3, _) := p4 in + Ok (st3, (Betree_Node_Internal node1, node_id_cnt1))) + else ( + p1 <- + betree_store_internal_node node.(betree_Internal_id) content1 st1; + let (st2, _) := p1 in + Ok (st2, (Betree_Node_Internal node, node_id_cnt))) + | Betree_Node_Leaf node => + p <- betree_load_leaf_node node.(betree_Leaf_id) st; + let (st1, content) := p in + content1 <- betree_Node_apply_messages_to_leaf n1 content msgs; + len <- betree_List_len (u64 * u64) n1 content1; + i <- u64_mul 2%u64 params.(betree_Params_split_size); + if len s>= i + then ( + p1 <- betree_Leaf_split n1 node content1 params node_id_cnt st1; + let (st2, p2) := p1 in + let (new_node, node_id_cnt1) := p2 in + p3 <- betree_store_leaf_node node.(betree_Leaf_id) Betree_List_Nil st2; + let (st3, _) := p3 in + Ok (st3, (Betree_Node_Internal new_node, node_id_cnt1))) + else ( + p1 <- betree_store_leaf_node node.(betree_Leaf_id) content1 st1; + let (st2, _) := p1 in + Ok (st2, (Betree_Node_Leaf + {| betree_Leaf_id := node.(betree_Leaf_id); betree_Leaf_size := len + |}, node_id_cnt))) + end + end +. + +(** [betree::betree::{betree::betree::Node#5}::apply]: + Source: 'src/betree.rs', lines 576:4-582:5 *) +Definition betree_Node_apply + (n : nat) (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) (key : u64) + (new_msg : betree_Message_t) (st : state) : + result (state * (betree_Node_t * betree_NodeIdCounter_t)) + := + p <- + betree_Node_apply_messages n self params node_id_cnt (Betree_List_Cons + (key, new_msg) Betree_List_Nil) st; + let (st1, p1) := p in + let (self1, node_id_cnt1) := p1 in + Ok (st1, (self1, node_id_cnt1)) +. + +(** [betree::betree::{betree::betree::BeTree#6}::new]: + Source: 'src/betree.rs', lines 849:4-849:60 *) +Definition betree_BeTree_new + (min_flush_size : u64) (split_size : u64) (st : state) : + result (state * betree_BeTree_t) + := + node_id_cnt <- betree_NodeIdCounter_new; + p <- betree_NodeIdCounter_fresh_id node_id_cnt; + let (id, node_id_cnt1) := p in + p1 <- betree_store_leaf_node id Betree_List_Nil st; + let (st1, _) := p1 in + Ok (st1, + {| + betree_BeTree_params := + {| + betree_Params_min_flush_size := min_flush_size; + betree_Params_split_size := split_size + |}; + betree_BeTree_node_id_cnt := node_id_cnt1; + betree_BeTree_root := + (Betree_Node_Leaf + {| betree_Leaf_id := id; betree_Leaf_size := 0%u64 |}) + |}) +. + +(** [betree::betree::{betree::betree::BeTree#6}::apply]: + Source: 'src/betree.rs', lines 868:4-868:47 *) +Definition betree_BeTree_apply + (n : nat) (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) + (st : state) : + result (state * betree_BeTree_t) + := + p <- + betree_Node_apply n self.(betree_BeTree_root) self.(betree_BeTree_params) + self.(betree_BeTree_node_id_cnt) key msg st; + let (st1, p1) := p in + let (n1, nic) := p1 in + Ok (st1, + {| + betree_BeTree_params := self.(betree_BeTree_params); + betree_BeTree_node_id_cnt := nic; + betree_BeTree_root := n1 + |}) +. + +(** [betree::betree::{betree::betree::BeTree#6}::insert]: + Source: 'src/betree.rs', lines 874:4-874:52 *) +Definition betree_BeTree_insert + (n : nat) (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : + result (state * betree_BeTree_t) + := + betree_BeTree_apply n self key (Betree_Message_Insert value) st +. + +(** [betree::betree::{betree::betree::BeTree#6}::delete]: + Source: 'src/betree.rs', lines 880:4-880:38 *) +Definition betree_BeTree_delete + (n : nat) (self : betree_BeTree_t) (key : u64) (st : state) : + result (state * betree_BeTree_t) + := + betree_BeTree_apply n self key Betree_Message_Delete st +. + +(** [betree::betree::{betree::betree::BeTree#6}::upsert]: + Source: 'src/betree.rs', lines 886:4-886:59 *) +Definition betree_BeTree_upsert + (n : nat) (self : betree_BeTree_t) (key : u64) + (upd : betree_UpsertFunState_t) (st : state) : + result (state * betree_BeTree_t) + := + betree_BeTree_apply n self key (Betree_Message_Upsert upd) st +. + +(** [betree::betree::{betree::betree::BeTree#6}::lookup]: + Source: 'src/betree.rs', lines 895:4-895:62 *) +Definition betree_BeTree_lookup + (n : nat) (self : betree_BeTree_t) (key : u64) (st : state) : + result (state * ((option u64) * betree_BeTree_t)) + := + p <- betree_Node_lookup n self.(betree_BeTree_root) key st; + let (st1, p1) := p in + let (o, n1) := p1 in + Ok (st1, (o, + {| + betree_BeTree_params := self.(betree_BeTree_params); + betree_BeTree_node_id_cnt := self.(betree_BeTree_node_id_cnt); + betree_BeTree_root := n1 + |})) +. + +(** [betree::main]: + Source: 'src/main.rs', lines 4:0-4:9 *) +Definition main : result unit := + Ok tt. + +(** Unit test for [betree::main] *) +Check (main )%return. + +End Betree_Funs. |