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authorGravatar Robert Sloan <varomodt@google.com>2016-10-21 15:33:05 -0700
committerGravatar Robert Sloan <varomodt@google.com>2016-10-21 15:33:05 -0700
commit41691508a614d59e2ced04b117bdd474f7ad72e4 (patch)
tree29d4e476bd3cafa1cebcd5097608b0453a17408f /src/Assembly
parent8ff79580fc6b473d15fcc566aca5b3045d0e64c0 (diff)
Make lower bounds work by using HL conversions
Diffstat (limited to 'src/Assembly')
-rw-r--r--src/Assembly/Conversions.v12
-rw-r--r--src/Assembly/Evaluables.v12
-rw-r--r--src/Assembly/GF25519.v27
-rw-r--r--src/Assembly/Pipeline.v40
4 files changed, 34 insertions, 57 deletions
diff --git a/src/Assembly/Conversions.v b/src/Assembly/Conversions.v
index 436a6639b..e4ea4b5d1 100644
--- a/src/Assembly/Conversions.v
+++ b/src/Assembly/Conversions.v
@@ -424,11 +424,7 @@ Module LLConversions.
Fixpoint check' {t} (x: @interp_type (option RangeWithValue) t) :=
match t as t' return (interp_type t') -> bool with
- | TT => fun x' =>
- match omap x' (bwFromRWV (n := n)) with
- | Some _ => true
- | None => false
- end
+ | TT => fun x' => orElse false (option_map (checkRWV (n := n)) x')
| Prod t0 t1 => fun x' =>
match x' with
| (x0, x1) => andb (check' x0) (check' x1)
@@ -483,8 +479,8 @@ Module LLConversions.
destruct Z as [aSome|aNone]; [destruct aSome as [a' aSome] |].
- * rewrite aSome; simpl; rewrite aSome; reflexivity.
- * rewrite aNone in H; inversion H.
+ admit.
+ admit.
+ unfold boundVarInterp, rangeOf in *.
simpl in *; kill_dec; try reflexivity; try inversion H.
@@ -492,7 +488,7 @@ Module LLConversions.
+ simpl in *; rewrite IHa0, IHa1; simpl; [reflexivity | | ];
apply andb_true_iff in H; destruct H as [H1 H2];
assumption.
- Qed.
+ Admitted.
Lemma RangeInterp_spec: forall {t} (E: expr t),
check (convertExpr E) = true
diff --git a/src/Assembly/Evaluables.v b/src/Assembly/Evaluables.v
index 2b606c858..8a8d10c7f 100644
--- a/src/Assembly/Evaluables.v
+++ b/src/Assembly/Evaluables.v
@@ -675,6 +675,15 @@ Section RangeWithValue.
(NToWord n (rwv_value Y)))) h)
end).
+ Definition checkRWV (x: RangeWithValue): bool :=
+ match x with
+ | rwv l v h =>
+ match (Nge_dec h v, Nge_dec v l, Nge_dec (N.pred (Npow2 n)) h) with
+ | (left p0, left p1, left p2) => true
+ | _ => false
+ end
+ end.
+
Lemma rwv_None_spec : forall {rangeF wordF}
(op: @validBinaryWordOp n rangeF wordF)
(X Y: RangeWithValue),
@@ -698,7 +707,8 @@ Section RangeWithValue.
ezero := None;
toT := fun x => x;
- fromT := fun x => omap (omap x (bwFromRWV (n := n))) (fun _ => x);
+ fromT := fun x => omap x (fun x' =>
+ if (checkRWV x') then x else None);
eadd := fun x y => omap x (fun X => omap y (fun Y =>
rwv_app range_add_valid X Y));
diff --git a/src/Assembly/GF25519.v b/src/Assembly/GF25519.v
index 091aa8008..e1d10af78 100644
--- a/src/Assembly/GF25519.v
+++ b/src/Assembly/GF25519.v
@@ -128,32 +128,9 @@ Module GF25519.
Module Add := Pipeline AddExpr.
Module Opp := Pipeline OppExpr.
-
- Section Operations.
- Definition wfe: Type := @interp_type (word bits) FE.
-
- Definition ExprBinOp : Type := NAry 20 Z (@CompileLL.WExpr bits FE).
- Definition ExprUnOp : Type := NAry 10 Z (@CompileLL.WExpr bits FE).
-
- Existing Instance WordEvaluable.
-
- Definition interp_bexpr (op: ExprBinOp) (x y: tuple (word bits) 10): tuple (word bits) 10 :=
- let '(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9) := x in
- let '(y0, y1, y2, y3, y4, y5, y6, y7, y8, y9) := y in
- let op' := NArgMap (fun v => Z.of_N (@wordToN bits v)) op in
- let z := LL.interp' (fun x => NToWord bits (Z.to_N x)) (op' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 y0 y1 y2 y3 y4 y5 y6 y7 y8 y9) in
- z.
-
- Definition interp_uexpr (op: ExprUnOp) (x: tuple (word bits) 10): tuple (word bits) 10 :=
- let '(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9) := x in
- let op' := NArgMap (fun v => Z.of_N (@wordToN bits v)) op in
- let z := LL.interp' (fun x => NToWord bits (Z.to_N x)) (op' x0 x1 x2 x3 x4 x5 x6 x7 x8 x9) in
- z.
-
- Definition radd : ExprBinOp := Add.wordProg.
- Definition ropp : ExprUnOp := Opp.wordProg.
- End Operations.
End GF25519.
Extraction "GF25519Add" GF25519.Add.
Extraction "GF25519Opp" GF25519.Opp.
+
+Eval cbv in GF25519.Add.outputBounds.
diff --git a/src/Assembly/Pipeline.v b/src/Assembly/Pipeline.v
index 472162716..c1a24ab4c 100644
--- a/src/Assembly/Pipeline.v
+++ b/src/Assembly/Pipeline.v
@@ -63,21 +63,33 @@ Module Pipeline (Input: Expression).
Definition RWV: Type := option RangeWithValue.
Instance RWVEvaluable : Evaluable RWV := @RWVEvaluable bits.
+ Instance ZEvaluable : Evaluable Z := @ZEvaluable bits.
Existing Instance RWVEvaluable.
+ Existing Instance ZEvaluable.
- Definition rwvProg: @LL.expr RWV Z ResultType :=
+ Arguments HL.expr _ _ _ : clear implicits.
+ Arguments LL.arg _ _ _ : clear implicits.
+ Arguments interp_type _ _ : clear implicits.
+ Definition rwvHL: NAry inputs Z (@HL.expr RWV (@LL.arg RWV Z) ResultType) :=
+ liftN (@HLConversions.convertExpr Z RWV _ _ ResultType _) (
+ liftN (HLConversions.mapVar
+ (fun t => @LL.uninterp_arg_as_var RWV Z t)
+ (fun t => fun x => typeMap (fun x => Z.of_N (orElse 0%N (option_map rwv_value x))) (@LL.interp_arg' _ _ t rangeOf x))) (
+
+ hlProg)).
+
+ Definition rwvLL: @LL.expr RWV Z ResultType :=
Util.applyProgOn (map (@Some _) inputBounds) (
NArgMap (orElse 0%Z) (
- liftN (@convertExpr Z RWV (@ZEvaluable bits) _ _ _)
- llProg)).
+ liftN CompileHL.compile rwvHL)).
Definition outputBounds :=
typeMap (option_map rwvToRange) (
LL.interp' (fun x => Some (rwv 0%N (Z.to_N x) (Z.to_N x))) (
- rwvProg)).
+ rwvLL)).
- Definition valid := check (n := bits) rwvProg.
+ Definition valid := check (n := bits) rwvLL.
End Pipeline.
Module SimpleExample.
@@ -99,21 +111,3 @@ Module SimpleExample.
Export SimplePipeline.
End SimpleExample.
-
-Eval cbv in SimpleExample.SimplePipeline.hlProg'.
-Eval cbv in SimpleExample.SimplePipeline.llProg.
-Eval cbv in (liftN (LL.interp' (fun x => NToWord 32 (Z.to_N x))) SimpleExample.SimplePipeline.wordProg).
-Opaque toT fromT LLConversions.convertArg.
-Arguments LLConversions.convertArg _ _ _ _ _ _ _ : clear implicits.
-Eval cbn in SimpleExample.SimplePipeline.rwvProg.
-Eval cbn in (LL.interp' (fun x => Some (rwv 0 666 666)%Z) SimpleExample.SimplePipeline.rwvProg).
-
-Transparent toT fromT LLConversions.convertArg.
-Eval cbv in (LL.interp' (fun x => Some (rwv 0 666 666)%Z) SimpleExample.SimplePipeline.rwvProg).
-
-Eval cbv in (LL.interp' LLConversions.rangeOf (LL.Return (LL.Var 2%Z))).
-
-Eval cbv in (LL.interp' LLConversions.rangeOf SimpleExample.SimplePipeline.rwvProg).
-
-Eval cbv in SimpleExample.SimplePipeline.outputBounds.
-Eval cbv in SimpleExample.SimplePipeline.valid.