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|
(*|
..
Vericert: Verified high-level synthesis.
Copyright (C) 2020-2022 Yann Herklotz <yann@yannherklotz.com>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>.
===========
RTLBlockgen
===========
.. coq:: none
|*)
Require compcert.backend.RTL.
Require Import compcert.common.AST.
Require Import compcert.lib.Maps.
Require Import compcert.lib.Integers.
Require Import compcert.lib.Floats.
Require Import vericert.common.DecEq.
Require Import vericert.common.Vericertlib.
Require Import vericert.hls.Gible.
Require Import vericert.hls.GibleSeq.
#[local] Open Scope positive.
(*|
``find_block max nodes index``: Does not need to be sorted, because we use
filter and the max fold function to find the desired element.
Compute find_block 100 (2::94::48::39::19::nil) 40
= 48
: positive
It wants to find the nearest block that is greater than or equal to the current
block.
|*)
Definition find_block (max: positive) (nodes: list positive) (index: positive)
: positive :=
List.fold_right Pos.min max (List.filter (fun x => (index <=? x)) nodes).
(*Compute (find_block 100 (2::94::48::39::19::nil) 40 =? 48).*)
(*|
.. index::
triple: abstract interpretation; check instruction; RTLBlockgen
Check Instruction
=================
Check if an instruction is a standard instruction that should be in a basic
block.
|*)
Definition check_instr (n: positive) (istr: RTL.instruction) (istr': instr) :=
match istr, istr' with
| RTL.Inop n', RBnop => (n' + 1 =? n)
| RTL.Iop op args dst n', RBop None op' args' dst' =>
ceq operation_eq op op' &&
ceq list_pos_eq args args' &&
ceq peq dst dst' && (n' + 1 =? n)
| RTL.Iload chunk addr args dst n', RBload None chunk' addr' args' dst' =>
ceq memory_chunk_eq chunk chunk' &&
ceq addressing_eq addr addr' &&
ceq list_pos_eq args args' &&
ceq peq dst dst' &&
(n' + 1 =? n)
| RTL.Istore chunk addr args src n', RBstore None chunk' addr' args' src' =>
ceq memory_chunk_eq chunk chunk' &&
ceq addressing_eq addr addr' &&
ceq list_pos_eq args args' &&
ceq peq src src' &&
(n' + 1 =? n)
| _, _ => false
end.
Definition check_cf_instr_body (istr: RTL.instruction) (istr': instr): bool :=
match istr, istr' with
| RTL.Iop op args dst _, RBop None op' args' dst' =>
ceq operation_eq op op' &&
ceq list_pos_eq args args' &&
ceq peq dst dst'
| RTL.Iload chunk addr args dst _, RBload None chunk' addr' args' dst' =>
ceq memory_chunk_eq chunk chunk' &&
ceq addressing_eq addr addr' &&
ceq list_pos_eq args args' &&
ceq peq dst dst'
| RTL.Istore chunk addr args src _, RBstore None chunk' addr' args' src' =>
ceq memory_chunk_eq chunk chunk' &&
ceq addressing_eq addr addr' &&
ceq list_pos_eq args args' &&
ceq peq src src'
| RTL.Inop _, RBnop
| RTL.Icall _ _ _ _ _, RBnop
| RTL.Itailcall _ _ _, RBnop
| RTL.Ibuiltin _ _ _ _, RBnop
| RTL.Icond _ _ _ _, RBnop
| RTL.Ijumptable _ _, RBnop
| RTL.Ireturn _, RBnop => true
| _, _ => false
end.
Definition check_cf_instr (istr: RTL.instruction) (istr': cf_instr) :=
match istr, istr' with
| RTL.Inop n, RBgoto n' => (n =? n')
| RTL.Iop _ _ _ n, RBgoto n' => (n =? n')
| RTL.Iload _ _ _ _ n, RBgoto n' => (n =? n')
| RTL.Istore _ _ _ _ n, RBgoto n' => (n =? n')
| RTL.Icall sig (inl r) args dst n, RBcall sig' (inl r') args' dst' n' =>
ceq signature_eq sig sig' &&
ceq peq r r' &&
ceq list_pos_eq args args' &&
ceq peq dst dst' &&
(n =? n')
| RTL.Icall sig (inr i) args dst n, RBcall sig' (inr i') args' dst' n' =>
ceq signature_eq sig sig' &&
ceq peq i i' &&
ceq list_pos_eq args args' &&
ceq peq dst dst' &&
(n =? n')
| RTL.Itailcall sig (inl r) args, RBtailcall sig' (inl r') args' =>
ceq signature_eq sig sig' &&
ceq peq r r' &&
ceq list_pos_eq args args'
| RTL.Itailcall sig (inr r) args, RBtailcall sig' (inr r') args' =>
ceq signature_eq sig sig' &&
ceq peq r r' &&
ceq list_pos_eq args args'
| RTL.Icond cond args n1 n2, RBcond cond' args' n1' n2' =>
ceq condition_eq cond cond' &&
ceq list_pos_eq args args' &&
ceq peq n1 n1' && ceq peq n2 n2'
| RTL.Ijumptable r ns, RBjumptable r' ns' =>
ceq peq r r' && ceq list_pos_eq ns ns'
| RTL.Ireturn (Some r), RBreturn (Some r') =>
ceq peq r r'
| RTL.Ireturn None, RBreturn None => true
| _, _ => false
end.
Definition is_cf_instr (n: positive) (i: RTL.instruction) :=
match i with
| RTL.Inop n' => negb (n' + 1 =? n)
| RTL.Iop _ _ _ n' => negb (n' + 1 =? n)
| RTL.Iload _ _ _ _ n' => negb (n' + 1 =? n)
| RTL.Istore _ _ _ _ n' => negb (n' + 1 =? n)
| RTL.Icall _ _ _ _ _ => true
| RTL.Itailcall _ _ _ => true
| RTL.Ibuiltin _ _ _ _ => true
| RTL.Icond _ _ _ _ => true
| RTL.Ijumptable _ _ => true
| RTL.Ireturn _ => true
end.
Definition check_present_blocks (c: code) (n: list positive) (max: positive) (i: positive) (istr: RTL.instruction) :=
let blockn := find_block max n i in
match c ! blockn with
| Some istrs =>
match List.nth_error istrs.(bb_body) (Pos.to_nat blockn - Pos.to_nat i)%nat with
| Some istr' =>
if is_cf_instr i istr
then check_cf_instr istr istrs.(bb_exit) && check_cf_instr_body istr istr'
else check_instr i istr istr'
| None => false
end
| None => false
end.
Definition check_valid_node (tc: code) (e: node) :=
match tc ! e with
| Some _ => true
| _ => false
end.
Fixpoint check_code' (c: RTL.code) (tc: code) (pc: node) (b: bb) (i: cf_instr) :=
match b, i, c ! pc with
| RBnop :: (_ :: _) as b', _, Some (RTL.Inop pc') =>
check_code' c tc pc' b' i
| RBop None op args dst :: (_ :: _) as b', _, Some (RTL.Iop op' args' dst' pc') =>
ceq operation_eq op op'
&& ceq list_pos_eq args args'
&& ceq peq dst dst'
&& check_code' c tc pc' b' i
| RBload None chunk addr args dst :: (_ :: _) as b', _,
Some (RTL.Iload chunk' addr' args' dst' pc') =>
ceq memory_chunk_eq chunk chunk'
&& ceq addressing_eq addr addr'
&& ceq list_pos_eq args args'
&& ceq peq dst dst'
&& check_code' c tc pc' b' i
| RBstore None chunk addr args src :: (_ :: _) as b', _,
Some (RTL.Istore chunk' addr' args' src' pc') =>
ceq memory_chunk_eq chunk chunk'
&& ceq addressing_eq addr addr'
&& ceq list_pos_eq args args'
&& ceq peq src src'
&& check_code' c tc pc' b' i
| RBnop :: nil, RBgoto pc', Some (RTL.Inop pc'') =>
check_valid_node tc pc'
&& ceq peq pc' pc''
| RBop None op args dst :: nil, RBgoto pc', Some (RTL.Iop op' args' dst' pc'') =>
check_valid_node tc pc'
&& ceq peq pc' pc''
&& ceq operation_eq op op'
&& ceq list_pos_eq args args'
&& ceq peq dst dst'
| RBload None chunk addr args dst :: nil, RBgoto pc',
Some (RTL.Iload chunk' addr' args' dst' pc'') =>
check_valid_node tc pc'
&& ceq peq pc' pc''
&& ceq memory_chunk_eq chunk chunk'
&& ceq addressing_eq addr addr'
&& ceq list_pos_eq args args'
&& ceq peq dst dst'
| RBstore None chunk addr args src :: nil, RBgoto pc',
Some (RTL.Istore chunk' addr' args' src' pc'') =>
check_valid_node tc pc'
&& ceq peq pc' pc''
&& ceq memory_chunk_eq chunk chunk'
&& ceq addressing_eq addr addr'
&& ceq list_pos_eq args args'
&& ceq peq src src'
| RBnop :: nil, RBcall sig (inl r) args dst pc',
Some (RTL.Icall sig' (inl r') args' dst' pc'') =>
check_valid_node tc pc'
&& ceq peq pc' pc''
&& ceq signature_eq sig sig'
&& ceq peq r r'
&& ceq list_pos_eq args args'
&& ceq peq dst dst'
| RBnop :: nil, RBcall sig (inr i) args dst pc',
Some (RTL.Icall sig' (inr i') args' dst' pc'') =>
check_valid_node tc pc'
&& ceq peq pc' pc''
&& ceq signature_eq sig sig'
&& ceq peq i i'
&& ceq list_pos_eq args args'
&& ceq peq dst dst'
| RBnop :: nil, RBtailcall sig' (inl r') args',
Some (RTL.Itailcall sig (inl r) args) =>
ceq signature_eq sig sig'
&& ceq peq r r'
&& ceq list_pos_eq args args'
| RBnop :: nil, RBtailcall sig' (inr r') args',
Some (RTL.Itailcall sig (inr r) args) =>
ceq signature_eq sig sig'
&& ceq peq r r'
&& ceq list_pos_eq args args'
| RBnop :: nil, RBcond cond' args' n1' n2', Some (RTL.Icond cond args n1 n2) =>
check_valid_node tc n1
&& check_valid_node tc n2
&& ceq condition_eq cond cond'
&& ceq list_pos_eq args args'
&& ceq peq n1 n1'
&& ceq peq n2 n2'
| RBnop :: nil, RBjumptable r' ns', Some (RTL.Ijumptable r ns) =>
ceq peq r r'
&& ceq list_pos_eq ns ns'
&& forallb (check_valid_node tc) ns
| RBnop :: nil, RBreturn (Some r'), Some (RTL.Ireturn (Some r)) =>
ceq peq r r'
| RBnop :: nil, RBreturn None, Some (RTL.Ireturn None) => true
| _, _, _ => false
end.
Definition check_code c tc pc b :=
check_code' c tc pc b.(bb_body) b.(bb_exit).
Parameter partition : RTL.function -> Errors.res function.
Definition transl_function (f: RTL.function) :=
match partition f with
| Errors.OK f' =>
if check_valid_node f'.(fn_code) f.(RTL.fn_entrypoint) then
if forall_ptree (check_code f.(RTL.fn_code) f'.(fn_code)) f'.(fn_code) then
Errors.OK
(mkfunction f.(RTL.fn_sig) f.(RTL.fn_params) f.(RTL.fn_stacksize) f'.(fn_code) f.(RTL.fn_entrypoint))
else Errors.Error (Errors.msg "check_present_blocks failed")
else Errors.Error (Errors.msg "entrypoint does not exists")
| Errors.Error msg => Errors.Error msg
end.
Definition transl_fundef := transf_partial_fundef transl_function.
Definition transl_program : RTL.program -> Errors.res program :=
transform_partial_program transl_fundef.
|
