diff options
Diffstat (limited to 'tests/hol4/betree/betreeMain_FunsScript.sml')
| -rw-r--r-- | tests/hol4/betree/betreeMain_FunsScript.sml | 516 |
1 files changed, 258 insertions, 258 deletions
diff --git a/tests/hol4/betree/betreeMain_FunsScript.sml b/tests/hol4/betree/betreeMain_FunsScript.sml index 03ff2671..b53c7b8d 100644 --- a/tests/hol4/betree/betreeMain_FunsScript.sml +++ b/tests/hol4/betree/betreeMain_FunsScript.sml @@ -279,22 +279,6 @@ val betree_leaf_split_back_def = Define ‘ od ’ -val [betree_node_lookup_in_bindings_fwd_def] = DefineDiv ‘ - (** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) - betree_node_lookup_in_bindings_fwd - (key : u64) (bindings : (u64 # u64) betree_list_t) : u64 option result = - (case bindings of - | BetreeListCons hd tl => - let (i, i0) = hd in - if i = key - then Return (SOME i0) - else - if u64_gt i key - then Return NONE - else betree_node_lookup_in_bindings_fwd key tl - | BetreeListNil => Return NONE) -’ - val [betree_node_lookup_first_message_for_key_fwd_def] = DefineDiv ‘ (** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: forward function *) betree_node_lookup_first_message_for_key_fwd @@ -396,7 +380,51 @@ val [betree_node_apply_upserts_back_def] = DefineDiv ‘ od ’ -val [betree_node_lookup_fwd_def, betree_node_lookup_back_def, betree_internal_lookup_in_children_fwd_def, betree_internal_lookup_in_children_back_def] = DefineDiv ‘ +val [betree_node_lookup_in_bindings_fwd_def] = DefineDiv ‘ + (** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) + betree_node_lookup_in_bindings_fwd + (key : u64) (bindings : (u64 # u64) betree_list_t) : u64 option result = + (case bindings of + | BetreeListCons hd tl => + let (i, i0) = hd in + if i = key + then Return (SOME i0) + else + if u64_gt i key + then Return NONE + else betree_node_lookup_in_bindings_fwd key tl + | BetreeListNil => Return NONE) +’ + +val [betree_internal_lookup_in_children_fwd_def, betree_internal_lookup_in_children_back_def, betree_node_lookup_fwd_def, betree_node_lookup_back_def] = DefineDiv ‘ + (** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) + (betree_internal_lookup_in_children_fwd + (self : betree_internal_t) (key : u64) (st : state) : + (state # u64 option) result + = + if u64_lt key self.betree_internal_pivot + then betree_node_lookup_fwd self.betree_internal_left key st + else betree_node_lookup_fwd self.betree_internal_right key st) + /\ + + (** [betree_main::betree::Internal::{4}::lookup_in_children]: backward function 0 *) + (betree_internal_lookup_in_children_back + (self : betree_internal_t) (key : u64) (st : state) : + betree_internal_t result + = + if u64_lt key self.betree_internal_pivot + then ( + do + n <- betree_node_lookup_back self.betree_internal_left key st; + Return (self with <| betree_internal_left := n |>) + od) + else ( + do + n <- betree_node_lookup_back self.betree_internal_right key st; + Return (self with <| betree_internal_right := n |>) + od)) + /\ + (** [betree_main::betree::Node::{5}::lookup]: forward function *) (betree_node_lookup_fwd (self : betree_node_t) (key : u64) (st : state) : @@ -468,8 +496,8 @@ val [betree_node_lookup_fwd_def, betree_node_lookup_back_def, betree_internal_lo /\ (** [betree_main::betree::Node::{5}::lookup]: backward function 0 *) - (betree_node_lookup_back - (self : betree_node_t) (key : u64) (st : state) : betree_node_t result = + betree_node_lookup_back + (self : betree_node_t) (key : u64) (st : state) : betree_node_t result = (case self of | BetreeNodeInternal node => do @@ -532,142 +560,7 @@ val [betree_node_lookup_fwd_def, betree_node_lookup_back_def, betree_internal_lo (_, bindings) <- betree_load_leaf_node_fwd node.betree_leaf_id st; _ <- betree_node_lookup_in_bindings_fwd key bindings; Return (BetreeNodeLeaf node) - od)) - /\ - - (** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) - (betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : u64) (st : state) : - (state # u64 option) result - = - if u64_lt key self.betree_internal_pivot - then betree_node_lookup_fwd self.betree_internal_left key st - else betree_node_lookup_fwd self.betree_internal_right key st) - /\ - - (** [betree_main::betree::Internal::{4}::lookup_in_children]: backward function 0 *) - betree_internal_lookup_in_children_back - (self : betree_internal_t) (key : u64) (st : state) : - betree_internal_t result - = - if u64_lt key self.betree_internal_pivot - then ( - do - n <- betree_node_lookup_back self.betree_internal_left key st; - Return (self with <| betree_internal_left := n |>) od) - else ( - do - n <- betree_node_lookup_back self.betree_internal_right key st; - Return (self with <| betree_internal_right := n |>) - od) -’ - -val [betree_node_lookup_mut_in_bindings_fwd_def] = DefineDiv ‘ - (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) - betree_node_lookup_mut_in_bindings_fwd - (key : u64) (bindings : (u64 # u64) betree_list_t) : - (u64 # u64) betree_list_t result - = - (case bindings of - | BetreeListCons hd tl => - let (i, i0) = hd in - if u64_ge i key - then Return (BetreeListCons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd key tl - | BetreeListNil => Return BetreeListNil) -’ - -val [betree_node_lookup_mut_in_bindings_back_def] = DefineDiv ‘ - (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) - betree_node_lookup_mut_in_bindings_back - (key : u64) (bindings : (u64 # u64) betree_list_t) - (ret : (u64 # u64) betree_list_t) : - (u64 # u64) betree_list_t result - = - (case bindings of - | BetreeListCons hd tl => - let (i, i0) = hd in - if u64_ge i key - then Return ret - else ( - do - tl0 <- betree_node_lookup_mut_in_bindings_back key tl ret; - Return (BetreeListCons (i, i0) tl0) - od) - | BetreeListNil => Return ret) -’ - -val betree_node_apply_to_leaf_fwd_back_def = Define ‘ - (** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) - betree_node_apply_to_leaf_fwd_back - (bindings : (u64 # u64) betree_list_t) (key : u64) - (new_msg : betree_message_t) : - (u64 # u64) betree_list_t result - = - do - bindings0 <- betree_node_lookup_mut_in_bindings_fwd key bindings; - b <- betree_list_head_has_key_fwd bindings0 key; - if b - then ( - do - hd <- betree_list_pop_front_fwd bindings0; - (case new_msg of - | BetreeMessageInsert v => - do - bindings1 <- betree_list_pop_front_back bindings0; - bindings2 <- betree_list_push_front_fwd_back bindings1 (key, v); - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - od - | BetreeMessageDelete => - do - bindings1 <- betree_list_pop_front_back bindings0; - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - od - | BetreeMessageUpsert s => - let (_, i) = hd in - do - v <- betree_upsert_update_fwd (SOME i) s; - bindings1 <- betree_list_pop_front_back bindings0; - bindings2 <- betree_list_push_front_fwd_back bindings1 (key, v); - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - od) - od) - else - (case new_msg of - | BetreeMessageInsert v => - do - bindings1 <- betree_list_push_front_fwd_back bindings0 (key, v); - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - od - | BetreeMessageDelete => - betree_node_lookup_mut_in_bindings_back key bindings bindings0 - | BetreeMessageUpsert s => - do - v <- betree_upsert_update_fwd NONE s; - bindings1 <- betree_list_push_front_fwd_back bindings0 (key, v); - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - od) - od -’ - -val [betree_node_apply_messages_to_leaf_fwd_back_def] = DefineDiv ‘ - (** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) - betree_node_apply_messages_to_leaf_fwd_back - (bindings : (u64 # u64) betree_list_t) - (new_msgs : (u64 # betree_message_t) betree_list_t) : - (u64 # u64) betree_list_t result - = - (case new_msgs of - | BetreeListCons new_msg new_msgs_tl => - let (i, m) = new_msg in - do - bindings0 <- betree_node_apply_to_leaf_fwd_back bindings i m; - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl - od - | BetreeListNil => Return bindings) ’ val [betree_node_filter_messages_for_key_fwd_back_def] = DefineDiv ‘ @@ -811,7 +704,211 @@ val [betree_node_apply_messages_to_internal_fwd_back_def] = DefineDiv ‘ | BetreeListNil => Return msgs) ’ -val [betree_node_apply_messages_fwd_def, betree_node_apply_messages_back_def, betree_internal_flush_fwd_def, betree_internal_flush_back_def] = DefineDiv ‘ +val [betree_node_lookup_mut_in_bindings_fwd_def] = DefineDiv ‘ + (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) + betree_node_lookup_mut_in_bindings_fwd + (key : u64) (bindings : (u64 # u64) betree_list_t) : + (u64 # u64) betree_list_t result + = + (case bindings of + | BetreeListCons hd tl => + let (i, i0) = hd in + if u64_ge i key + then Return (BetreeListCons (i, i0) tl) + else betree_node_lookup_mut_in_bindings_fwd key tl + | BetreeListNil => Return BetreeListNil) +’ + +val [betree_node_lookup_mut_in_bindings_back_def] = DefineDiv ‘ + (** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) + betree_node_lookup_mut_in_bindings_back + (key : u64) (bindings : (u64 # u64) betree_list_t) + (ret : (u64 # u64) betree_list_t) : + (u64 # u64) betree_list_t result + = + (case bindings of + | BetreeListCons hd tl => + let (i, i0) = hd in + if u64_ge i key + then Return ret + else ( + do + tl0 <- betree_node_lookup_mut_in_bindings_back key tl ret; + Return (BetreeListCons (i, i0) tl0) + od) + | BetreeListNil => Return ret) +’ + +val betree_node_apply_to_leaf_fwd_back_def = Define ‘ + (** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) *) + betree_node_apply_to_leaf_fwd_back + (bindings : (u64 # u64) betree_list_t) (key : u64) + (new_msg : betree_message_t) : + (u64 # u64) betree_list_t result + = + do + bindings0 <- betree_node_lookup_mut_in_bindings_fwd key bindings; + b <- betree_list_head_has_key_fwd bindings0 key; + if b + then ( + do + hd <- betree_list_pop_front_fwd bindings0; + (case new_msg of + | BetreeMessageInsert v => + do + bindings1 <- betree_list_pop_front_back bindings0; + bindings2 <- betree_list_push_front_fwd_back bindings1 (key, v); + betree_node_lookup_mut_in_bindings_back key bindings bindings2 + od + | BetreeMessageDelete => + do + bindings1 <- betree_list_pop_front_back bindings0; + betree_node_lookup_mut_in_bindings_back key bindings bindings1 + od + | BetreeMessageUpsert s => + let (_, i) = hd in + do + v <- betree_upsert_update_fwd (SOME i) s; + bindings1 <- betree_list_pop_front_back bindings0; + bindings2 <- betree_list_push_front_fwd_back bindings1 (key, v); + betree_node_lookup_mut_in_bindings_back key bindings bindings2 + od) + od) + else + (case new_msg of + | BetreeMessageInsert v => + do + bindings1 <- betree_list_push_front_fwd_back bindings0 (key, v); + betree_node_lookup_mut_in_bindings_back key bindings bindings1 + od + | BetreeMessageDelete => + betree_node_lookup_mut_in_bindings_back key bindings bindings0 + | BetreeMessageUpsert s => + do + v <- betree_upsert_update_fwd NONE s; + bindings1 <- betree_list_push_front_fwd_back bindings0 (key, v); + betree_node_lookup_mut_in_bindings_back key bindings bindings1 + od) + od +’ + +val [betree_node_apply_messages_to_leaf_fwd_back_def] = DefineDiv ‘ + (** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) *) + betree_node_apply_messages_to_leaf_fwd_back + (bindings : (u64 # u64) betree_list_t) + (new_msgs : (u64 # betree_message_t) betree_list_t) : + (u64 # u64) betree_list_t result + = + (case new_msgs of + | BetreeListCons new_msg new_msgs_tl => + let (i, m) = new_msg in + do + bindings0 <- betree_node_apply_to_leaf_fwd_back bindings i m; + betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl + od + | BetreeListNil => Return bindings) +’ + +val [betree_internal_flush_fwd_def, betree_internal_flush_back_def, betree_node_apply_messages_fwd_def, betree_node_apply_messages_back_def] = DefineDiv ‘ + (** [betree_main::betree::Internal::{4}::flush]: forward function *) + (betree_internal_flush_fwd + (self : betree_internal_t) (params : betree_params_t) + (node_id_cnt : betree_node_id_counter_t) + (content : (u64 # betree_message_t) betree_list_t) (st : state) : + (state # (u64 # betree_message_t) betree_list_t) result + = + do + p <- betree_list_partition_at_pivot_fwd content self.betree_internal_pivot; + let (msgs_left, msgs_right) = p in + do + len_left <- betree_list_len_fwd msgs_left; + if u64_ge len_left params.betree_params_min_flush_size + then ( + do + (st0, _) <- + betree_node_apply_messages_fwd self.betree_internal_left params + node_id_cnt msgs_left st; + (_, node_id_cnt0) <- + betree_node_apply_messages_back self.betree_internal_left params + node_id_cnt msgs_left st; + len_right <- betree_list_len_fwd msgs_right; + if u64_ge len_right params.betree_params_min_flush_size + then ( + do + (st1, _) <- + betree_node_apply_messages_fwd self.betree_internal_right params + node_id_cnt0 msgs_right st0; + _ <- + betree_node_apply_messages_back self.betree_internal_right params + node_id_cnt0 msgs_right st0; + Return (st1, BetreeListNil) + od) + else Return (st0, msgs_right) + od) + else ( + do + (st0, _) <- + betree_node_apply_messages_fwd self.betree_internal_right params + node_id_cnt msgs_right st; + _ <- + betree_node_apply_messages_back self.betree_internal_right params + node_id_cnt msgs_right st; + Return (st0, msgs_left) + od) + od + od) + /\ + + (** [betree_main::betree::Internal::{4}::flush]: backward function 0 *) + (betree_internal_flush_back + (self : betree_internal_t) (params : betree_params_t) + (node_id_cnt : betree_node_id_counter_t) + (content : (u64 # betree_message_t) betree_list_t) (st : state) : + (betree_internal_t # betree_node_id_counter_t) result + = + do + p <- betree_list_partition_at_pivot_fwd content self.betree_internal_pivot; + let (msgs_left, msgs_right) = p in + do + len_left <- betree_list_len_fwd msgs_left; + if u64_ge len_left params.betree_params_min_flush_size + then ( + do + (st0, _) <- + betree_node_apply_messages_fwd self.betree_internal_left params + node_id_cnt msgs_left st; + (n, node_id_cnt0) <- + betree_node_apply_messages_back self.betree_internal_left params + node_id_cnt msgs_left st; + len_right <- betree_list_len_fwd msgs_right; + if u64_ge len_right params.betree_params_min_flush_size + then ( + do + (n0, node_id_cnt1) <- + betree_node_apply_messages_back self.betree_internal_right params + node_id_cnt0 msgs_right st0; + Return + (self + with + <| + betree_internal_left := n; betree_internal_right := n0 + |>, node_id_cnt1) + od) + else Return (self with <| betree_internal_left := n |>, node_id_cnt0) + od) + else ( + do + (n, node_id_cnt0) <- + betree_node_apply_messages_back self.betree_internal_right params + node_id_cnt msgs_right st; + Return (self with <| betree_internal_right := n |>, node_id_cnt0) + od) + od + od) + /\ + (** [betree_main::betree::Node::{5}::apply_messages]: forward function *) (betree_node_apply_messages_fwd (self : betree_node_t) (params : betree_params_t) @@ -868,12 +965,12 @@ val [betree_node_apply_messages_fwd_def, betree_node_apply_messages_back_def, be /\ (** [betree_main::betree::Node::{5}::apply_messages]: backward function 0 *) - (betree_node_apply_messages_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : (u64 # betree_message_t) betree_list_t) (st : state) : - (betree_node_t # betree_node_id_counter_t) result - = + betree_node_apply_messages_back + (self : betree_node_t) (params : betree_params_t) + (node_id_cnt : betree_node_id_counter_t) + (msgs : (u64 # betree_message_t) betree_list_t) (st : state) : + (betree_node_t # betree_node_id_counter_t) result + = (case self of | BetreeNodeInternal node => do @@ -921,104 +1018,7 @@ val [betree_node_apply_messages_fwd_def, betree_node_apply_messages_back_def, be Return (BetreeNodeLeaf (node with <| betree_leaf_size := len |>), node_id_cnt) od) - od)) - /\ - - (** [betree_main::betree::Internal::{4}::flush]: forward function *) - (betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : (u64 # betree_message_t) betree_list_t) (st : state) : - (state # (u64 # betree_message_t) betree_list_t) result - = - do - p <- betree_list_partition_at_pivot_fwd content self.betree_internal_pivot; - let (msgs_left, msgs_right) = p in - do - len_left <- betree_list_len_fwd msgs_left; - if u64_ge len_left params.betree_params_min_flush_size - then ( - do - (st0, _) <- - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st; - (_, node_id_cnt0) <- - betree_node_apply_messages_back self.betree_internal_left params - node_id_cnt msgs_left st; - len_right <- betree_list_len_fwd msgs_right; - if u64_ge len_right params.betree_params_min_flush_size - then ( - do - (st1, _) <- - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st0; - _ <- - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt0 msgs_right st0; - Return (st1, BetreeListNil) - od) - else Return (st0, msgs_right) - od) - else ( - do - (st0, _) <- - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st; - _ <- - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt msgs_right st; - Return (st0, msgs_left) od) - od - od) - /\ - - (** [betree_main::betree::Internal::{4}::flush]: backward function 0 *) - betree_internal_flush_back - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : (u64 # betree_message_t) betree_list_t) (st : state) : - (betree_internal_t # betree_node_id_counter_t) result - = - do - p <- betree_list_partition_at_pivot_fwd content self.betree_internal_pivot; - let (msgs_left, msgs_right) = p in - do - len_left <- betree_list_len_fwd msgs_left; - if u64_ge len_left params.betree_params_min_flush_size - then ( - do - (st0, _) <- - betree_node_apply_messages_fwd self.betree_internal_left params - node_id_cnt msgs_left st; - (n, node_id_cnt0) <- - betree_node_apply_messages_back self.betree_internal_left params - node_id_cnt msgs_left st; - len_right <- betree_list_len_fwd msgs_right; - if u64_ge len_right params.betree_params_min_flush_size - then ( - do - (n0, node_id_cnt1) <- - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt0 msgs_right st0; - Return - (self - with - <| - betree_internal_left := n; betree_internal_right := n0 - |>, node_id_cnt1) - od) - else Return (self with <| betree_internal_left := n |>, node_id_cnt0) - od) - else ( - do - (n, node_id_cnt0) <- - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt msgs_right st; - Return (self with <| betree_internal_right := n |>, node_id_cnt0) - od) - od - od ’ val betree_node_apply_fwd_def = Define ‘ |