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Require Import Crypto.Assembly.Pipeline.
Require Import Crypto.Spec.ModularArithmetic.
Require Import Crypto.ModularArithmetic.ModularBaseSystem.
Require Import Crypto.Specific.GF25519.
Require Import Crypto.Util.Tuple.
Module GF25519.
Definition bits: nat := 64.
Definition width: Width bits := W64.
Instance ZE : Evaluable Z := @ZEvaluable bits.
Existing Instance ZE.
Fixpoint makeBoundList {n} k (b: @BoundedWord n) :=
match k with
| O => nil
| S k' => cons b (makeBoundList k' b)
end.
Section DefaultBounds.
Import ListNotations.
Local Notation rr exp := (2^exp + 2^exp/10)%Z.
Definition feBound: list Z :=
[rr 26; rr 27; rr 26; rr 27; rr 26;
rr 27; rr 26; rr 27; rr 26; rr 27].
End DefaultBounds.
Definition FE: type.
Proof.
let T := eval vm_compute in fe25519 in
let t := HL.reify_type T in
exact t.
Defined.
Definition liftFE {T} (F: @interp_type Z FE -> T) :=
fun (a b c d e f g h i j: Z) => F (a, b, c, d, e, f, g, h, i, j).
Module AddExpr <: Expression.
Definition bits: nat := bits.
Definition inputs: nat := 20.
Definition width: Width bits := width.
Definition ResultType := FE.
Definition inputBounds := feBound ++ feBound.
Definition ge25519_add_expr :=
Eval cbv beta delta [fe25519 carry_add mul carry_sub Let_In] in carry_add.
Definition ge25519_add' (P Q: @interp_type Z FE) :
{ r: @HL.expr Z (@interp_type Z) FE | HL.interp (t := FE) r = ge25519_add_expr P Q }.
Proof.
vm_compute in P, Q; repeat
match goal with
| [x:?T |- _] =>
lazymatch T with
| Z => fail
| prod _ _ => destruct x
| _ => clear x
end
end.
eexists.
cbv beta delta [ge25519_add_expr].
let R := HL.rhs_of_goal in
let X := HL.reify (@interp_type Z) R in
transitivity (HL.interp (t := ResultType) X); [reflexivity|].
cbv iota beta delta [
interp_type interp_binop HL.interp
Z.land ZEvaluable eadd esub emul eshiftr eand].
reflexivity.
Defined.
Definition ge25519_add (P Q: @interp_type Z ResultType) :=
proj1_sig (ge25519_add' P Q).
Definition hlProg: NAry 20 Z (@HL.expr Z (@interp_type Z) ResultType) :=
liftFE (fun p => (liftFE (fun q => ge25519_add p q))).
End AddExpr.
Module OppExpr <: Expression.
Definition bits: nat := bits.
Definition inputs: nat := 10.
Definition width: Width bits := width.
Definition ResultType := FE.
Definition inputBounds := feBound.
Definition ge25519_opp_expr :=
Eval cbv beta delta [fe25519 carry_add mul carry_sub carry_opp Let_In] in carry_opp.
Definition ge25519_opp' (P: @interp_type Z FE) :
{ r: @HL.expr Z (@interp_type Z) FE
| HL.interp (E := @ZEvaluable bits) (t := FE) r = ge25519_opp_expr P }.
Proof.
vm_compute in P; repeat
match goal with
| [x:?T |- _] =>
lazymatch T with
| Z => fail
| prod _ _ => destruct x
| _ => clear x
end
end.
eexists.
cbv beta delta [ge25519_opp_expr zero_].
let R := HL.rhs_of_goal in
let X := HL.reify (@interp_type Z) R in
transitivity (HL.interp (E := @ZEvaluable bits) (t := ResultType) X);
[reflexivity|].
cbv iota beta delta [
interp_type interp_binop HL.interp
Z.land ZEvaluable eadd esub emul eshiftr eand].
reflexivity.
Defined.
Definition ge25519_opp (P: @interp_type Z ResultType) :=
proj1_sig (ge25519_opp' P).
Definition hlProg: NAry 10 Z (@HL.expr Z (@interp_type Z) ResultType) :=
liftFE (fun p => ge25519_opp p).
End OppExpr.
Module Add := Pipeline AddExpr.
Module Opp := Pipeline OppExpr.
End GF25519.
Extraction "GF25519Add" GF25519.Add.
Extraction "GF25519Opp" GF25519.Opp.
Eval cbv in GF25519.Add.outputBounds.
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