Add RTLBlock intermediate language

1 files changed, 0 insertions, 654 deletions

diff --git a/src/translation/HTLgen.v b/src/translation/HTLgen.v
deleted file mode 100644
index 68e0293..0000000
--- a/src/translation/HTLgen.v
+++ /dev/null
@@ -1,654 +0,0 @@
-(* 
- * Vericert: 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 compcert Require Import Maps.
-From compcert Require Errors Globalenvs Integers.
-From compcert Require Import AST RTL.
-From vericert Require Import Verilog HTL Vericertlib AssocMap ValueInt Statemonad.
-
-Hint Resolve AssocMap.gempty : htlh.
-Hint Resolve AssocMap.gso : htlh.
-Hint Resolve AssocMap.gss : htlh.
-Hint Resolve Ple_refl : htlh.
-Hint Resolve Ple_succ : htlh.
-
-Record state: Type := mkstate {
-  st_st : reg;
-  st_freshreg: reg;
-  st_freshstate: node;
-  st_scldecls: AssocMap.t (option io * scl_decl);
-  st_arrdecls: AssocMap.t (option io * arr_decl);
-  st_datapath: datapath;
-  st_controllogic: controllogic;
-}.
-
-Definition init_state (st : reg) : state :=
-  mkstate st
-          1%positive
-          1%positive
-          (AssocMap.empty (option io * scl_decl))
-          (AssocMap.empty (option io * arr_decl))
-          (AssocMap.empty stmnt)
-          (AssocMap.empty stmnt).
-
-Module HTLState <: State.
-
-  Definition st := state.
-
-  Inductive st_incr: state -> state -> Prop :=
-    state_incr_intro:
-      forall (s1 s2: state),
-        st_st s1 = st_st s2 ->
-        Ple s1.(st_freshreg) s2.(st_freshreg) ->
-        Ple s1.(st_freshstate) s2.(st_freshstate) ->
-        (forall n,
-            s1.(st_datapath)!n = None \/ s2.(st_datapath)!n = s1.(st_datapath)!n) ->
-        (forall n,
-            s1.(st_controllogic)!n = None
-            \/ s2.(st_controllogic)!n = s1.(st_controllogic)!n) ->
-        st_incr s1 s2.
-  Hint Constructors st_incr : htlh.
-
-  Definition st_prop := st_incr.
-  Hint Unfold st_prop : htlh.
-
-  Lemma st_refl : forall s, st_prop s s. Proof. auto with htlh. Qed.
-
-  Lemma st_trans :
-    forall s1 s2 s3, st_prop s1 s2 -> st_prop s2 s3 -> st_prop s1 s3.
-  Proof.
-    intros. inv H. inv H0. apply state_incr_intro; eauto using Ple_trans; intros; try congruence.
-    - destruct H4 with n; destruct H8 with n; intuition congruence.
-    - destruct H5 with n; destruct H9 with n; intuition congruence.
-  Qed.
-
-End HTLState.
-Export HTLState.
-
-Module HTLMonad := Statemonad(HTLState).
-Export HTLMonad.
-
-Module HTLMonadExtra := Monad.MonadExtra(HTLMonad).
-Import HTLMonadExtra.
-Export MonadNotation.
-
-Definition state_goto (st : reg) (n : node) : stmnt :=
-  Vnonblock (Vvar st) (Vlit (posToValue n)).
-
-Definition state_cond (st : reg) (c : expr) (n1 n2 : node) : stmnt :=
-  Vnonblock (Vvar st) (Vternary c (posToExpr n1) (posToExpr n2)).
-
-Definition check_empty_node_datapath:
-  forall (s: state) (n: node), { s.(st_datapath)!n = None } + { True }.
-Proof.
-  intros. case (s.(st_datapath)!n); tauto.
-Defined.
-
-Definition check_empty_node_controllogic:
-  forall (s: state) (n: node), { s.(st_controllogic)!n = None } + { True }.
-Proof.
-  intros. case (s.(st_controllogic)!n); tauto.
-Defined.
-
-Lemma add_instr_state_incr :
-  forall s n n' st,
-    (st_datapath s)!n = None ->
-    (st_controllogic s)!n = None ->
-    st_incr s
-    (mkstate
-       s.(st_st)
-       s.(st_freshreg)
-       (st_freshstate s)
-       s.(st_scldecls)
-       s.(st_arrdecls)
-       (AssocMap.set n st s.(st_datapath))
-       (AssocMap.set n (state_goto s.(st_st) n') s.(st_controllogic))).
-Proof.
-  constructor; intros;
-    try (simpl; destruct (peq n n0); subst);
-    auto with htlh.
-Qed.
-
-Lemma declare_reg_state_incr :
-  forall i s r sz,
-    st_incr s
-    (mkstate
-       s.(st_st)
-       s.(st_freshreg)
-       s.(st_freshstate)
-       (AssocMap.set r (i, VScalar sz) s.(st_scldecls))
-       s.(st_arrdecls)
-       s.(st_datapath)
-       s.(st_controllogic)).
-Proof. auto with htlh. Qed.
-
-Definition declare_reg (i : option io) (r : reg) (sz : nat) : mon unit :=
-  fun s => OK tt (mkstate
-                s.(st_st)
-                s.(st_freshreg)
-                s.(st_freshstate)
-                (AssocMap.set r (i, VScalar sz) s.(st_scldecls))
-                s.(st_arrdecls)
-                s.(st_datapath)
-                s.(st_controllogic))
-              (declare_reg_state_incr i s r sz).
-
-Definition add_instr (n : node) (n' : node) (st : stmnt) : mon unit :=
-  fun s =>
-    match check_empty_node_datapath s n, check_empty_node_controllogic s n with
-    | left STM, left TRANS =>
-      OK tt (mkstate
-               s.(st_st)
-               s.(st_freshreg)
-               (st_freshstate s)
-               s.(st_scldecls)
-               s.(st_arrdecls)
-               (AssocMap.set n st s.(st_datapath))
-               (AssocMap.set n (state_goto s.(st_st) n') s.(st_controllogic)))
-         (add_instr_state_incr s n n' st STM TRANS)
-    | _, _ => Error (Errors.msg "HTL.add_instr")
-    end.
-
-Lemma add_instr_skip_state_incr :
-  forall s n st,
-    (st_datapath s)!n = None ->
-    (st_controllogic s)!n = None ->
-    st_incr s
-    (mkstate
-       s.(st_st)
-       s.(st_freshreg)
-       (st_freshstate s)
-       s.(st_scldecls)
-       s.(st_arrdecls)
-       (AssocMap.set n st s.(st_datapath))
-       (AssocMap.set n Vskip s.(st_controllogic))).
-Proof.
-  constructor; intros;
-    try (simpl; destruct (peq n n0); subst);
-    auto with htlh.
-Qed.
-
-Definition add_instr_skip (n : node) (st : stmnt) : mon unit :=
-  fun s =>
-    match check_empty_node_datapath s n, check_empty_node_controllogic s n with
-    | left STM, left TRANS =>
-      OK tt (mkstate
-               s.(st_st)
-               s.(st_freshreg)
-               (st_freshstate s)
-               s.(st_scldecls)
-               s.(st_arrdecls)
-               (AssocMap.set n st s.(st_datapath))
-               (AssocMap.set n Vskip s.(st_controllogic)))
-         (add_instr_skip_state_incr s n st STM TRANS)
-    | _, _ => Error (Errors.msg "HTL.add_instr")
-    end.
-
-Lemma add_node_skip_state_incr :
-  forall s n st,
-    (st_datapath s)!n = None ->
-    (st_controllogic s)!n = None ->
-    st_incr s
-    (mkstate
-       s.(st_st)
-       s.(st_freshreg)
-       (st_freshstate s)
-       s.(st_scldecls)
-       s.(st_arrdecls)
-       (AssocMap.set n Vskip s.(st_datapath))
-       (AssocMap.set n st s.(st_controllogic))).
-Proof.
-  constructor; intros;
-    try (simpl; destruct (peq n n0); subst);
-    auto with htlh.
-Qed.
-
-Definition add_node_skip (n : node) (st : stmnt) : mon unit :=
-  fun s =>
-    match check_empty_node_datapath s n, check_empty_node_controllogic s n with
-    | left STM, left TRANS =>
-      OK tt (mkstate
-               s.(st_st)
-               s.(st_freshreg)
-               (st_freshstate s)
-               s.(st_scldecls)
-               s.(st_arrdecls)
-               (AssocMap.set n Vskip s.(st_datapath))
-               (AssocMap.set n st s.(st_controllogic)))
-         (add_node_skip_state_incr s n st STM TRANS)
-    | _, _ => Error (Errors.msg "HTL.add_instr")
-    end.
-
-Definition nonblock (dst : reg) (e : expr) := Vnonblock (Vvar dst) e.
-Definition block (dst : reg) (e : expr) := Vblock (Vvar dst) e.
-
-Definition bop (op : binop) (r1 r2 : reg) : expr :=
-  Vbinop op (Vvar r1) (Vvar r2).
-
-Definition boplit (op : binop) (r : reg) (l : Integers.int) : expr :=
-  Vbinop op (Vvar r) (Vlit (intToValue l)).
-
-Definition boplitz (op: binop) (r: reg) (l: Z) : expr :=
-  Vbinop op (Vvar r) (Vlit (ZToValue l)).
-
-Definition translate_comparison (c : Integers.comparison) (args : list reg) : mon expr :=
-  match c, args with
-  | Integers.Ceq, r1::r2::nil => ret (bop Veq r1 r2)
-  | Integers.Cne, r1::r2::nil => ret (bop Vne r1 r2)
-  | Integers.Clt, r1::r2::nil => ret (bop Vlt r1 r2)
-  | Integers.Cgt, r1::r2::nil => ret (bop Vgt r1 r2)
-  | Integers.Cle, r1::r2::nil => ret (bop Vle r1 r2)
-  | Integers.Cge, r1::r2::nil => ret (bop Vge r1 r2)
-  | _, _ => error (Errors.msg "Htlgen: comparison instruction not implemented: other")
-  end.
-
-Definition translate_comparison_imm (c : Integers.comparison) (args : list reg) (i: Integers.int)
-  : mon expr :=
-  match c, args with
-  | Integers.Ceq, r1::nil => ret (boplit Veq r1 i)
-  | Integers.Cne, r1::nil => ret (boplit Vne r1 i)
-  | Integers.Clt, r1::nil => ret (boplit Vlt r1 i)
-  | Integers.Cgt, r1::nil => ret (boplit Vgt r1 i)
-  | Integers.Cle, r1::nil => ret (boplit Vle r1 i)
-  | Integers.Cge, r1::nil => ret (boplit Vge r1 i)
-  | _, _ => error (Errors.msg "Htlgen: comparison_imm instruction not implemented: other")
-  end.
-
-Definition translate_comparisonu (c : Integers.comparison) (args : list reg) : mon expr :=
-  match c, args with
-  | Integers.Clt, r1::r2::nil => ret (bop Vltu r1 r2)
-  | Integers.Cgt, r1::r2::nil => ret (bop Vgtu r1 r2)
-  | Integers.Cle, r1::r2::nil => ret (bop Vleu r1 r2)
-  | Integers.Cge, r1::r2::nil => ret (bop Vgeu r1 r2)
-  | _, _ => error (Errors.msg "Htlgen: comparison instruction not implemented: other")
-  end.
-
-Definition translate_comparison_immu (c : Integers.comparison) (args : list reg) (i: Integers.int)
-  : mon expr :=
-  match c, args with
-  | Integers.Clt, r1::nil => ret (boplit Vltu r1 i)
-  | Integers.Cgt, r1::nil => ret (boplit Vgtu r1 i)
-  | Integers.Cle, r1::nil => ret (boplit Vleu r1 i)
-  | Integers.Cge, r1::nil => ret (boplit Vgeu r1 i)
-  | _, _ => error (Errors.msg "Htlgen: comparison_imm instruction not implemented: other")
-  end.
-
-Definition translate_condition (c : Op.condition) (args : list reg) : mon expr :=
-  match c, args with
-  | Op.Ccomp c, _ => translate_comparison c args
-  | Op.Ccompu c, _ => translate_comparisonu c args
-  | Op.Ccompimm c i, _ => translate_comparison_imm c args i
-  | Op.Ccompuimm c i, _ => translate_comparison_immu c args i
-  | Op.Cmaskzero n, _ => error (Errors.msg "Htlgen: condition instruction not implemented: Cmaskzero")
-  | Op.Cmasknotzero n, _ => error (Errors.msg "Htlgen: condition instruction not implemented: Cmasknotzero")
-  | _, _ => error (Errors.msg "Htlgen: condition instruction not implemented: other")
-  end.
-
-Definition check_address_parameter_signed (p : Z) : bool :=
-  Z.leb Integers.Ptrofs.min_signed p
-  && Z.leb p Integers.Ptrofs.max_signed.
-
-Definition check_address_parameter_unsigned (p : Z) : bool :=
-  Z.leb p Integers.Ptrofs.max_unsigned.
-
-Definition translate_eff_addressing (a: Op.addressing) (args: list reg) : mon expr :=
-  match a, args with (* TODO: We should be more methodical here; what are the possibilities?*)
-  | Op.Aindexed off, r1::nil =>
-    if (check_address_parameter_signed off)
-    then ret (boplitz Vadd r1 off)
-    else error (Errors.msg "Veriloggen: translate_eff_addressing (Aindexed): address out of bounds")
-  | Op.Ascaled scale offset, r1::nil =>
-    if (check_address_parameter_signed scale) && (check_address_parameter_signed offset)
-    then ret (Vbinop Vadd (boplitz Vmul r1 scale) (Vlit (ZToValue offset)))
-    else error (Errors.msg "Veriloggen: translate_eff_addressing (Ascaled): address out of bounds")
-  | Op.Aindexed2 offset, r1::r2::nil =>
-    if (check_address_parameter_signed offset)
-    then ret (Vbinop Vadd (bop Vadd r1 r2) (Vlit (ZToValue offset)))
-    else error (Errors.msg "Veriloggen: translate_eff_addressing (Aindexed2): address out of bounds")
-  | Op.Aindexed2scaled scale offset, r1::r2::nil => (* Typical for dynamic array addressing *)
-    if (check_address_parameter_signed scale) && (check_address_parameter_signed offset)
-    then ret (Vbinop Vadd (Vvar r1) (Vbinop Vadd (boplitz Vmul r2 scale) (Vlit (ZToValue offset))))
-    else error (Errors.msg "Veriloggen: translate_eff_addressing (Aindexed2scaled): address out of bounds")
-  | Op.Ainstack a, nil => (* We need to be sure that the base address is aligned *)
-    let a := Integers.Ptrofs.unsigned a in
-    if (check_address_parameter_unsigned a)
-    then ret (Vlit (ZToValue a))
-    else error (Errors.msg "Veriloggen: translate_eff_addressing (Ainstack): address out of bounds")
-  | _, _ => error (Errors.msg "Veriloggen: translate_eff_addressing unsuported addressing")
-  end.
-
-(** Translate an instruction to a statement. FIX mulhs mulhu *)
-Definition translate_instr (op : Op.operation) (args : list reg) : mon expr :=
-  match op, args with
-  | Op.Omove, r::nil => ret (Vvar r)
-  | Op.Ointconst n, _ => ret (Vlit (intToValue n))
-  | Op.Oneg, r::nil => ret (Vunop Vneg (Vvar r))
-  | Op.Osub, r1::r2::nil => ret (bop Vsub r1 r2)
-  | Op.Omul, r1::r2::nil => ret (bop Vmul r1 r2)
-  | Op.Omulimm n, r::nil => ret (boplit Vmul r n)
-  | Op.Omulhs, r1::r2::nil => error (Errors.msg "Htlgen: Instruction not implemented: mulhs")
-  | Op.Omulhu, r1::r2::nil => error (Errors.msg "Htlgen: Instruction not implemented: mulhu")
-  | Op.Odiv, r1::r2::nil => ret (bop Vdiv r1 r2)
-  | Op.Odivu, r1::r2::nil => ret (bop Vdivu r1 r2)
-  | Op.Omod, r1::r2::nil => ret (bop Vmod r1 r2)
-  | Op.Omodu, r1::r2::nil => ret (bop Vmodu r1 r2)
-  | Op.Oand, r1::r2::nil => ret (bop Vand r1 r2)
-  | Op.Oandimm n, r::nil => ret (boplit Vand r n)
-  | Op.Oor, r1::r2::nil => ret (bop Vor r1 r2)
-  | Op.Oorimm n, r::nil => ret (boplit Vor r n)
-  | Op.Oxor, r1::r2::nil => ret (bop Vxor r1 r2)
-  | Op.Oxorimm n, r::nil => ret (boplit Vxor r n)
-  | Op.Onot, r::nil => ret (Vunop Vnot (Vvar r))
-  | Op.Oshl, r1::r2::nil => ret (bop Vshl r1 r2)
-  | Op.Oshlimm n, r::nil => ret (boplit Vshl r n)
-  | Op.Oshr, r1::r2::nil => ret (bop Vshr r1 r2)
-  | Op.Oshrimm n, r::nil => ret (boplit Vshr r n)
-  | Op.Oshrximm n, r::nil => error (Errors.msg "Htlgen: Instruction not implemented: Oshrximm")
-  (*ret (Vbinop Vdiv (Vvar r)
-    (Vbinop Vshl (Vlit (ZToValue 1))
-    (Vlit (intToValue n))))*)
-  | Op.Oshru, r1::r2::nil => ret (bop Vshru r1 r2)
-  | Op.Oshruimm n, r::nil => ret (boplit Vshru r n)
-  | Op.Ororimm n, r::nil => error (Errors.msg "Htlgen: Instruction not implemented: Ororimm")
-  (*ret (Vbinop Vor (boplit Vshru r (Integers.Int.modu n (Integers.Int.repr 32)))
-                                        (boplit Vshl r (Integers.Int.sub (Integers.Int.repr 32) (Integers.Int.modu n (Integers.Int.repr 32)))))*)
-  | Op.Oshldimm n, r::nil => ret (Vbinop Vor (boplit Vshl r n) (boplit Vshr r (Integers.Int.sub (Integers.Int.repr 32) n)))
-  | Op.Ocmp c, _ => translate_condition c args
-  | Op.Osel c AST.Tint, r1::r2::rl =>
-    do tc <- translate_condition c rl;
-    ret (Vternary tc (Vvar r1) (Vvar r2))
-  | Op.Olea a, _ => translate_eff_addressing a args
-  | _, _ => error (Errors.msg "Htlgen: Instruction not implemented: other")
-  end.
-
-Lemma add_branch_instr_state_incr:
-  forall s e n n1 n2,
-    (st_datapath s) ! n = None ->
-    (st_controllogic s) ! n = None ->
-    st_incr s (mkstate
-                 s.(st_st)
-                (st_freshreg s)
-                (st_freshstate s)
-                s.(st_scldecls)
-                s.(st_arrdecls)
-                (AssocMap.set n Vskip (st_datapath s))
-                (AssocMap.set n (state_cond s.(st_st) e n1 n2) (st_controllogic s))).
-Proof.
-  intros. apply state_incr_intro; simpl;
-            try (intros; destruct (peq n0 n); subst);
-            auto with htlh.
-Qed.
-
-Definition add_branch_instr (e: expr) (n n1 n2: node) : mon unit :=
-  fun s =>
-    match check_empty_node_datapath s n, check_empty_node_controllogic s n with
-    | left NSTM, left NTRANS =>
-      OK tt (mkstate
-               s.(st_st)
-                (st_freshreg s)
-                (st_freshstate s)
-                s.(st_scldecls)
-                s.(st_arrdecls)
-                (AssocMap.set n Vskip (st_datapath s))
-                (AssocMap.set n (state_cond s.(st_st) e n1 n2) (st_controllogic s)))
-         (add_branch_instr_state_incr s e n n1 n2 NSTM NTRANS)
-    | _, _ => Error (Errors.msg "Htlgen: add_branch_instr")
-    end.
-
-Definition translate_arr_access (mem : AST.memory_chunk) (addr : Op.addressing)
-           (args : list reg) (stack : reg) : mon expr :=
-  match mem, addr, args with (* TODO: We should be more methodical here; what are the possibilities?*)
-  | Mint32, Op.Aindexed off, r1::nil =>
-    if (check_address_parameter_signed off)
-    then ret (Vvari stack (Vbinop Vdivu (boplitz Vadd r1 off) (Vlit (ZToValue 4))))
-    else error (Errors.msg "HTLgen: translate_arr_access address out of bounds")
-  | Mint32, Op.Aindexed2scaled scale offset, r1::r2::nil => (* Typical for dynamic array addressing *)
-    if (check_address_parameter_signed scale) && (check_address_parameter_signed offset)
-    then ret (Vvari stack
-                    (Vbinop Vdivu
-                            (Vbinop Vadd (boplitz Vadd r1 offset) (boplitz Vmul r2 scale))
-                            (Vlit (ZToValue 4))))
-    else error (Errors.msg "HTLgen: translate_arr_access address out of bounds")
-  | Mint32, Op.Ainstack a, nil => (* We need to be sure that the base address is aligned *)
-    let a := Integers.Ptrofs.unsigned a in
-    if (check_address_parameter_unsigned a)
-    then ret (Vvari stack (Vlit (ZToValue (a / 4))))
-    else error (Errors.msg "HTLgen: eff_addressing out of bounds stack offset")
-  | _, _, _ => error (Errors.msg "HTLgen: translate_arr_access unsuported addressing")
-  end.
-
-Fixpoint enumerate (i : nat) (ns : list node) {struct ns} : list (nat * node) :=
-  match ns with
-  | n :: ns' => (i, n) :: enumerate (i+1) ns'
-  | nil => nil
-  end.
-
-Definition tbl_to_case_expr (st : reg) (ns : list node) : list (expr * stmnt) :=
-  List.map (fun a => match a with
-                    (i, n) => (Vlit (natToValue i), Vnonblock (Vvar st) (Vlit (posToValue n)))
-                  end)
-           (enumerate 0 ns).
-
-Definition transf_instr (fin rtrn stack: reg) (ni: node * instruction) : mon unit :=
-  match ni with
-    (n, i) =>
-    match i with
-    | Inop n' =>
-      if Z.leb (Z.pos n') Integers.Int.max_unsigned then
-        add_instr n n' Vskip
-      else error (Errors.msg "State is larger than 2^32.")
-    | Iop op args dst n' =>
-      if Z.leb (Z.pos n') Integers.Int.max_unsigned then
-        do instr <- translate_instr op args;
-        do _ <- declare_reg None dst 32;
-        add_instr n n' (nonblock dst instr)
-      else error (Errors.msg "State is larger than 2^32.")
-    | Iload mem addr args dst n' =>
-      if Z.leb (Z.pos n') Integers.Int.max_unsigned then
-        do src <- translate_arr_access mem addr args stack;
-        do _ <- declare_reg None dst 32;
-        add_instr n n' (nonblock dst src)
-      else error (Errors.msg "State is larger than 2^32.")
-    | Istore mem addr args src n' =>
-      if Z.leb (Z.pos n') Integers.Int.max_unsigned then
-        do dst <- translate_arr_access mem addr args stack;
-        add_instr n n' (Vnonblock dst (Vvar src)) (* TODO: Could juse use add_instr? reg exists. *)
-      else error (Errors.msg "State is larger than 2^32.")
-    | Icall _ _ _ _ _ => error (Errors.msg "Calls are not implemented.")
-    | Itailcall _ _ _ => error (Errors.msg "Tailcalls are not implemented.")
-    | Ibuiltin _ _ _ _ => error (Errors.msg "Builtin functions not implemented.")
-    | Icond cond args n1 n2 =>
-      if Z.leb (Z.pos n1) Integers.Int.max_unsigned && Z.leb (Z.pos n2) Integers.Int.max_unsigned then
-        do e <- translate_condition cond args;
-        add_branch_instr e n n1 n2
-      else error (Errors.msg "State is larger than 2^32.")
-    | Ijumptable r tbl =>
-      (*do s <- get;
-      add_node_skip n (Vcase (Vvar r) (tbl_to_case_expr s.(st_st) tbl) (Some Vskip))*)
-      error (Errors.msg "Ijumptable: Case statement not supported.")
-    | Ireturn r =>
-      match r with
-      | Some r' =>
-        add_instr_skip n (Vseq (block fin (Vlit (ZToValue 1%Z))) (block rtrn (Vvar r')))
-      | None =>
-        add_instr_skip n (Vseq (block fin (Vlit (ZToValue 1%Z))) (block rtrn (Vlit (ZToValue 0%Z))))
-      end
-    end
-  end.
-
-Lemma create_reg_state_incr:
-  forall s sz i,
-    st_incr s (mkstate
-         s.(st_st)
-         (Pos.succ (st_freshreg s))
-         (st_freshstate s)
-         (AssocMap.set s.(st_freshreg) (i, VScalar sz) s.(st_scldecls))
-         s.(st_arrdecls)
-         (st_datapath s)
-         (st_controllogic s)).
-Proof. constructor; simpl; auto with htlh. Qed.
-
-Definition create_reg (i : option io) (sz : nat) : mon reg :=
-  fun s => let r := s.(st_freshreg) in
-           OK r (mkstate
-                   s.(st_st)
-                   (Pos.succ r)
-                   (st_freshstate s)
-                   (AssocMap.set s.(st_freshreg) (i, VScalar sz) s.(st_scldecls))
-                   (st_arrdecls s)
-                   (st_datapath s)
-                   (st_controllogic s))
-              (create_reg_state_incr s sz i).
-
-Lemma create_arr_state_incr:
-  forall s sz ln i,
-    st_incr s (mkstate
-         s.(st_st)
-         (Pos.succ (st_freshreg s))
-         (st_freshstate s)
-         s.(st_scldecls)
-         (AssocMap.set s.(st_freshreg) (i, VArray sz ln) s.(st_arrdecls))
-         (st_datapath s)
-         (st_controllogic s)).
-Proof. constructor; simpl; auto with htlh. Qed.
-
-Definition create_arr (i : option io) (sz : nat) (ln : nat) : mon (reg * nat) :=
-  fun s => let r := s.(st_freshreg) in
-           OK (r, ln) (mkstate
-                   s.(st_st)
-                   (Pos.succ r)
-                   (st_freshstate s)
-                   s.(st_scldecls)
-                   (AssocMap.set s.(st_freshreg) (i, VArray sz ln) s.(st_arrdecls))
-                   (st_datapath s)
-                   (st_controllogic s))
-              (create_arr_state_incr s sz ln i).
-
-Definition stack_correct (sz : Z) : bool :=
-  (0 <=? sz) && (sz <? Integers.Ptrofs.modulus) && (Z.modulo sz 4 =? 0).
-
-Definition max_pc_map (m : Maps.PTree.t stmnt) :=
-  PTree.fold (fun m pc i => Pos.max m pc) m 1%positive.
-
-Lemma max_pc_map_sound:
-  forall m pc i, m!pc = Some i -> Ple pc (max_pc_map m).
-Proof.
-  intros until i. unfold max_pc_function.
-  apply PTree_Properties.fold_rec with (P := fun c m => c!pc = Some i -> Ple pc m).
-  (* extensionality *)
-  intros. apply H0. rewrite H; auto.
-  (* base case *)
-  rewrite PTree.gempty. congruence.
-  (* inductive case *)
-  intros. rewrite PTree.gsspec in H2. destruct (peq pc k).
-  inv H2. xomega.
-  apply Ple_trans with a. auto. xomega.
-Qed.
-
-Lemma max_pc_wf :
-  forall m, Z.pos (max_pc_map m) <= Integers.Int.max_unsigned ->
-            map_well_formed m.
-Proof.
-  unfold map_well_formed. intros.
-  exploit list_in_map_inv. eassumption. intros [x [A B]]. destruct x.
-  apply Maps.PTree.elements_complete in B. apply max_pc_map_sound in B.
-  unfold Ple in B. apply Pos2Z.pos_le_pos in B. subst.
-  simplify. transitivity (Z.pos (max_pc_map m)); eauto.
-Qed.
-
-Definition transf_module (f: function) : mon module :=
-  if stack_correct f.(fn_stacksize) then
-    do fin <- create_reg (Some Voutput) 1;
-    do rtrn <- create_reg (Some Voutput) 32;
-    do (stack, stack_len) <- create_arr None 32 (Z.to_nat (f.(fn_stacksize) / 4));
-    do _ <- collectlist (transf_instr fin rtrn stack) (Maps.PTree.elements f.(RTL.fn_code));
-    do _ <- collectlist (fun r => declare_reg (Some Vinput) r 32) f.(RTL.fn_params);
-    do start <- create_reg (Some Vinput) 1;
-    do rst <- create_reg (Some Vinput) 1;
-    do clk <- create_reg (Some Vinput) 1;
-    do current_state <- get;
-    match zle (Z.pos (max_pc_map current_state.(st_datapath))) Integers.Int.max_unsigned,
-          zle (Z.pos (max_pc_map current_state.(st_controllogic))) Integers.Int.max_unsigned with
-    | left LEDATA, left LECTRL =>
-        ret (mkmodule
-           f.(RTL.fn_params)
-           current_state.(st_datapath)
-           current_state.(st_controllogic)
-           f.(fn_entrypoint)
-           current_state.(st_st)
-           stack
-           stack_len
-           fin
-           rtrn
-           start
-           rst
-           clk
-           current_state.(st_scldecls)
-           current_state.(st_arrdecls)
-           (conj (max_pc_wf _ LECTRL) (max_pc_wf _ LEDATA)))
-    | _, _ => error (Errors.msg "More than 2^32 states.")
-    end
-  else error (Errors.msg "Stack size misalignment.").
-
-Definition max_state (f: function) : state :=
-  let st := Pos.succ (max_reg_function f) in
-  mkstate st
-          (Pos.succ st)
-          (Pos.succ (max_pc_function f))
-          (AssocMap.set st (None, VScalar 32) (st_scldecls (init_state st)))
-          (st_arrdecls (init_state st))
-          (st_datapath (init_state st))
-          (st_controllogic (init_state st)).
-
-Definition transl_module (f : function) : Errors.res module :=
-  run_mon (max_state f) (transf_module f).
-
-Definition transl_fundef := transf_partial_fundef transl_module.
-
-(* Definition transl_program (p : RTL.program) := transform_partial_program transl_fundef p. *)
-
-(*Definition transl_main_fundef f : Errors.res HTL.fundef :=
-  match f with
-  | Internal f => transl_fundef (Internal f)
-  | External f => Errors.Error (Errors.msg "Could not find internal main function")
-  end.
-
-(** Translation of a whole program. *)
-
-Definition transl_program (p: RTL.program) : Errors.res HTL.program :=
-  transform_partial_program2 (fun i f => if Pos.eqb p.(AST.prog_main) i
-                                         then transl_fundef f
-                                         else transl_main_fundef f)
-                             (fun i v => Errors.OK v) p.
-*)
-
-Definition main_is_internal (p : RTL.program) : bool :=
-  let ge := Globalenvs.Genv.globalenv p in
-  match Globalenvs.Genv.find_symbol ge p.(AST.prog_main) with
-  | Some b =>
-    match Globalenvs.Genv.find_funct_ptr ge b with
-    | Some (AST.Internal _) => true
-    | _ => false
-    end
-  | _ => false
-  end.
-
-Definition transl_program (p : RTL.program) : Errors.res HTL.program :=
-  if main_is_internal p
-  then transform_partial_program transl_fundef p
-  else Errors.Error (Errors.msg "Main function is not Internal.").