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(*
* CoqUp: Verified high-level synthesis.
* Copyright (C) 2020 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/>.
*)
From Coq Require Import FSets.FMapPositive.
From compcert Require RTL Op Maps.
From coqup Require Import Coquplib Verilog Veriloggen Value HTL.
(** * Relational specification of the translation *)
(** We now define inductive predicates that characterise the fact that the
statemachine that is created by the translation contains the correct
translations for each of the elements *)
Inductive tr_op : Op.operation -> list reg -> expr -> Prop :=
| tr_op_Omove : forall r, tr_op Op.Omove (r::nil) (Vvar r)
| tr_op_Ointconst : forall n l, tr_op (Op.Ointconst n) l (Vlit (intToValue n))
| tr_op_Oneg : forall r, tr_op Op.Oneg (r::nil) (Vunop Vneg (Vvar r))
| tr_op_Osub : forall r1 r2, tr_op Op.Osub (r1::r2::nil) (bop Vsub r1 r2)
| tr_op_Omul : forall r1 r2, tr_op Op.Omul (r1::r2::nil) (bop Vmul r1 r2)
| tr_op_Omulimm : forall r n, tr_op (Op.Omulimm n) (r::nil) (boplit Vmul r n)
| tr_op_Odiv : forall r1 r2, tr_op Op.Odiv (r1::r2::nil) (bop Vdiv r1 r2)
| tr_op_Odivu : forall r1 r2, tr_op Op.Odivu (r1::r2::nil) (bop Vdivu r1 r2)
| tr_op_Omod : forall r1 r2, tr_op Op.Omod (r1::r2::nil) (bop Vmod r1 r2)
| tr_op_Omodu : forall r1 r2, tr_op Op.Omodu (r1::r2::nil) (bop Vmodu r1 r2)
| tr_op_Oand : forall r1 r2, tr_op Op.Oand (r1::r2::nil) (bop Vand r1 r2)
| tr_op_Oandimm : forall n r, tr_op (Op.Oandimm n) (r::nil) (boplit Vand r n)
| tr_op_Oor : forall r1 r2, tr_op Op.Oor (r1::r2::nil) (bop Vor r1 r2)
| tr_op_Oorimm : forall n r, tr_op (Op.Oorimm n) (r::nil) (boplit Vor r n)
| tr_op_Oxor : forall r1 r2, tr_op Op.Oxor (r1::r2::nil) (bop Vxor r1 r2)
| tr_op_Oxorimm : forall n r, tr_op (Op.Oxorimm n) (r::nil) (boplit Vxor r n)
| tr_op_Onot : forall r, tr_op Op.Onot (r::nil) (Vunop Vnot (Vvar r))
| tr_op_Oshl : forall r1 r2, tr_op Op.Oshl (r1::r2::nil) (bop Vshl r1 r2)
| tr_op_Oshlimm : forall n r, tr_op (Op.Oshlimm n) (r::nil) (boplit Vshl r n)
| tr_op_Oshr : forall r1 r2, tr_op Op.Oshr (r1::r2::nil) (bop Vshr r1 r2)
| tr_op_Oshrimm : forall n r, tr_op (Op.Oshrimm n) (r::nil) (boplit Vshr r n)
| tr_op_Ocmp : forall c l e s s' i, translate_condition c l s = OK e s' i -> tr_op (Op.Ocmp c) l e
| tr_op_Olea : forall a l e s s' i, translate_eff_addressing a l s = OK e s' i -> tr_op (Op.Olea a) l e.
Inductive tr_instr (fin rtrn st : reg) : RTL.instruction -> stmnt -> stmnt -> Prop :=
| tr_instr_Inop :
forall n,
tr_instr fin rtrn st (RTL.Inop n) Vskip (state_goto st n)
| tr_instr_Iop :
forall n op args e dst,
tr_op op args e ->
tr_instr fin rtrn st (RTL.Iop op args dst n) (Vnonblock (Vvar dst) e) (state_goto st n)
| tr_instr_Icond :
forall n1 n2 cond args s s' i c,
translate_condition cond args s = OK c s' i ->
tr_instr fin rtrn st (RTL.Icond cond args n1 n2) Vskip (state_cond st c n1 n2)
| tr_instr_Ireturn_None :
tr_instr fin rtrn st (RTL.Ireturn None) (Vseq (block fin (Vlit (ZToValue 1%nat 1%Z))) (block rtrn (Vlit (ZToValue 1%nat 0%Z)))) Vskip
| tr_instr_Ireturn_Some :
forall r,
tr_instr fin rtrn st (RTL.Ireturn (Some r))
(Vseq (block fin (Vlit (ZToValue 1%nat 1%Z))) (block rtrn (Vvar r))) Vskip.
Inductive tr_code (c : RTL.code) (pc : RTL.node) (stmnts trans : PositiveMap.t stmnt)
(fin rtrn st : reg) : Prop :=
tr_code_intro :
forall i s t,
Maps.PTree.get pc c = Some i ->
stmnts!pc = Some s ->
trans!pc = Some t ->
tr_instr fin rtrn st i s t ->
tr_code c pc stmnts trans fin rtrn st.
Inductive tr_module (f : RTL.function) : module -> Prop :=
tr_module_intro :
forall data control fin rtrn st,
(forall pc, tr_code f.(RTL.fn_code) pc data control fin rtrn st) ->
tr_module f (mkmodule
f.(RTL.fn_params)
data
control
f.(RTL.fn_entrypoint)
st fin rtrn).
|
