From 8f6bc3b0b036c9ede3bb9bb69763316449b05be4 Mon Sep 17 00:00:00 2001 From: Yann Herklotz Date: Fri, 22 Jan 2021 15:24:58 +0000 Subject: Define RTLPar semantics These semantics are similar to the RTLBlock semantics, except that more states are needed to reason about the parallel execution in multiple cycles. --- src/hls/RTLPar.v | 171 +++++++++++++++++++++++++++---------------------------- 1 file changed, 85 insertions(+), 86 deletions(-) (limited to 'src/hls/RTLPar.v') diff --git a/src/hls/RTLPar.v b/src/hls/RTLPar.v index 36431ae..af6b0ab 100644 --- a/src/hls/RTLPar.v +++ b/src/hls/RTLPar.v @@ -1,6 +1,6 @@ (* * Vericert: Verified high-level synthesis. - * Copyright (C) 2020 Yann Herklotz + * Copyright (C) 2020-2021 Yann Herklotz * * 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 @@ -54,10 +54,7 @@ Definition funsig (fd: fundef) := Definition max_reg_bblock (m : positive) (pc : node) (bb : bblock) := let max_body := fold_left (fun x l => fold_left max_reg_instr l x) bb.(bb_body) m in - match bb.(bb_exit) with - | Some e => max_reg_cfi max_body e - | None => max_body - end. + max_reg_cfi max_body bb.(bb_exit). Definition max_reg_function (f: function) := Pos.max @@ -96,6 +93,14 @@ Inductive state : Type := (rs: regset) (**r register state *) (m: mem), (**r memory state *) state + | Block: + forall (stack: list stackframe) (**r call stack *) + (f: function) (**r current function *) + (sp: val) (**r stack pointer *) + (bb: bblock) (**r current basic block *) + (rs: regset) (**r register state *) + (m: mem), (**r memory state *) + state | Callstate: forall (stack: list stackframe) (**r call stack *) (f: fundef) (**r function to call *) @@ -110,7 +115,7 @@ Inductive state : Type := Section RELSEM. - Context (ge : genv). + Context (ge: genv). Definition find_function (ros: reg + ident) (rs: regset) : option fundef := @@ -123,92 +128,86 @@ Section RELSEM. end end. - Inductive step_instruction : state -> trace -> state -> Prop := - | exec_Inop: - forall s f sp pc rs m pc', - (fn_code f)!pc = Some(RPnop pc') -> - step (State s f sp pc rs m) - E0 (State s f sp pc' rs m) - | exec_Iop: - forall s f sp pc rs m op args res pc' v, - (fn_code f)!pc = Some(Iop op args res pc') -> - eval_operation ge sp op rs##args m = Some v -> - step (State s f sp pc rs m) - E0 (State s f sp pc' (rs#res <- v) m) - | exec_Iload: - forall s f sp pc rs m chunk addr args dst pc' a v, - (fn_code f)!pc = Some(Iload chunk addr args dst pc') -> - eval_addressing ge sp addr rs##args = Some a -> - Mem.loadv chunk m a = Some v -> - step (State s f sp pc rs m) - E0 (State s f sp pc' (rs#dst <- v) m) - | exec_Istore: - forall s f sp pc rs m chunk addr args src pc' a m', - (fn_code f)!pc = Some(Istore chunk addr args src pc') -> - eval_addressing ge sp addr rs##args = Some a -> - Mem.storev chunk m a rs#src = Some m' -> - step (State s f sp pc rs m) - E0 (State s f sp pc' rs m') - | exec_Icall: - forall s f sp pc rs m sig ros args res pc' fd, - (fn_code f)!pc = Some(Icall sig ros args res pc') -> - find_function ros rs = Some fd -> - funsig fd = sig -> - step (State s f sp pc rs m) - E0 (Callstate (Stackframe res f sp pc' rs :: s) fd rs##args m) - | exec_Itailcall: - forall s f stk pc rs m sig ros args fd m', - (fn_code f)!pc = Some(Itailcall sig ros args) -> - find_function ros rs = Some fd -> - funsig fd = sig -> - Mem.free m stk 0 f.(fn_stacksize) = Some m' -> - step (State s f (Vptr stk Ptrofs.zero) pc rs m) - E0 (Callstate s fd rs##args m') - | exec_Ibuiltin: - forall s f sp pc rs m ef args res pc' vargs t vres m', - (fn_code f)!pc = Some(Ibuiltin ef args res pc') -> - eval_builtin_args ge (fun r => rs#r) sp m args vargs -> - external_call ef ge vargs m t vres m' -> - step (State s f sp pc rs m) - t (State s f sp pc' (regmap_setres res vres rs) m') - | exec_Icond: - forall s f sp pc rs m cond args ifso ifnot b pc', - (fn_code f)!pc = Some(Icond cond args ifso ifnot) -> - eval_condition cond rs##args m = Some b -> - pc' = (if b then ifso else ifnot) -> - step (State s f sp pc rs m) - E0 (State s f sp pc' rs m) - | exec_Ijumptable: - forall s f sp pc rs m arg tbl n pc', - (fn_code f)!pc = Some(Ijumptable arg tbl) -> - rs#arg = Vint n -> - list_nth_z tbl (Int.unsigned n) = Some pc' -> - step (State s f sp pc rs m) - E0 (State s f sp pc' rs m) + Inductive step: state -> trace -> state -> Prop := + | exec_bblock_enter: + forall stack f sp pc rs m rs' m' bb, + (fn_code f)!pc = Some bb -> + step (State stack f sp pc rs m) E0 (Block stack f sp bb rs' m') + | exec_bblock_instr_cons: + forall sp rs m rs' m' stack f bb bbs cfi, + step_instr_list _ ge sp (InstrState rs m) bb (InstrState rs' m') -> + step (Block stack f sp (mk_bblock (bb :: bbs) cfi) rs m) E0 + (Block stack f sp (mk_bblock bbs cfi) rs' m') + | exec_RBcall: + forall s f sp rs m res fd ros sig args pc', + find_function ros rs = Some fd -> + funsig fd = sig -> + step (Block s f sp (mk_bblock nil (RBcall sig ros args res pc')) rs m) + E0 (Callstate (Stackframe res f sp pc' rs :: s) fd rs##args m) + | exec_RBtailcall: + forall s f stk rs m sig ros args fd m', + find_function ros rs = Some fd -> + funsig fd = sig -> + Mem.free m stk 0 f.(fn_stacksize) = Some m' -> + step (Block s f (Vptr stk Ptrofs.zero) (mk_bblock nil (RBtailcall sig ros args)) rs m) + E0 (Callstate s fd rs##args m') + | exec_RBbuiltin: + forall s f sp rs m ef args res pc' vargs t vres m', + eval_builtin_args ge (fun r => rs#r) sp m args vargs -> + external_call ef ge vargs m t vres m' -> + step (Block s f sp (mk_bblock nil (RBbuiltin ef args res pc')) rs m) + t (State s f sp pc' (regmap_setres res vres rs) m') + | exec_RBcond: + forall s f sp rs m cond args ifso ifnot b pc', + eval_condition cond rs##args m = Some b -> + pc' = (if b then ifso else ifnot) -> + step (Block s f sp (mk_bblock nil (RBcond cond args ifso ifnot)) rs m) + E0 (State s f sp pc' rs m) + | exec_RBjumptable: + forall s f sp rs m arg tbl n pc', + rs#arg = Vint n -> + list_nth_z tbl (Int.unsigned n) = Some pc' -> + step (Block s f sp (mk_bblock nil (RBjumptable arg tbl)) rs m) + E0 (State s f sp pc' rs m) | exec_Ireturn: - forall s f stk pc rs m or m', - (fn_code f)!pc = Some(Ireturn or) -> - Mem.free m stk 0 f.(fn_stacksize) = Some m' -> - step (State s f (Vptr stk Ptrofs.zero) pc rs m) - E0 (Returnstate s (regmap_optget or Vundef rs) m') + forall s f stk rs m or m', + Mem.free m stk 0 f.(fn_stacksize) = Some m' -> + step (Block s f (Vptr stk Ptrofs.zero) (mk_bblock nil (RBreturn or)) rs m) + E0 (Returnstate s (regmap_optget or Vundef rs) m') | exec_function_internal: forall s f args m m' stk, - Mem.alloc m 0 f.(fn_stacksize) = (m', stk) -> - step (Callstate s (Internal f) args m) - E0 (State s - f - (Vptr stk Ptrofs.zero) - f.(fn_entrypoint) - (init_regs args f.(fn_params)) - m') + Mem.alloc m 0 f.(fn_stacksize) = (m', stk) -> + step (Callstate s (Internal f) args m) + E0 (State s + f + (Vptr stk Ptrofs.zero) + f.(fn_entrypoint) + (init_regs args f.(fn_params)) + m') | exec_function_external: forall s ef args res t m m', - external_call ef ge args m t res m' -> - step (Callstate s (External ef) args m) - t (Returnstate s res m') + external_call ef ge args m t res m' -> + step (Callstate s (External ef) args m) + t (Returnstate s res m') | exec_return: forall res f sp pc rs s vres m, - step (Returnstate (Stackframe res f sp pc rs :: s) vres m) - E0 (State s f sp pc (rs#res <- vres) m). + step (Returnstate (Stackframe res f sp pc rs :: s) vres m) + E0 (State s f sp pc (rs#res <- vres) m). End RELSEM. + +Inductive initial_state (p: program): state -> Prop := + | initial_state_intro: forall b f m0, + let ge := Genv.globalenv p in + Genv.init_mem p = Some m0 -> + Genv.find_symbol ge p.(prog_main) = Some b -> + Genv.find_funct_ptr ge b = Some f -> + funsig f = signature_main -> + initial_state p (Callstate nil f nil m0). + +Inductive final_state: state -> int -> Prop := + | final_state_intro: forall r m, + final_state (Returnstate nil (Vint r) m) r. + +Definition semantics (p: program) := + Semantics step (initial_state p) final_state (Genv.globalenv p). -- cgit