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Diffstat (limited to 'src/Specific/GF25519.v')
| -rw-r--r-- | src/Specific/GF25519.v | 75 |
1 files changed, 0 insertions, 75 deletions
diff --git a/src/Specific/GF25519.v b/src/Specific/GF25519.v index 68e4ff6bb..10ff8d1af 100644 --- a/src/Specific/GF25519.v +++ b/src/Specific/GF25519.v @@ -13,7 +13,6 @@ Require Import Crypto.Util.Tactics. Require Import Crypto.Util.LetIn. Require Import Crypto.Util.Notations. Require Import Crypto.Util.Decidable. -Require Import Crypto.Util.Relations. Require Import Crypto.Algebra. Require Crypto.Spec.Ed25519. Import ListNotations. @@ -743,77 +742,3 @@ Definition unpack (f : wire_digits) : fe25519 := Definition unpack_correct (f : wire_digits) : unpack f = unpack_opt params25519 wire_widths_nonneg bits_eq f := Eval cbv beta iota delta [proj2_sig pack_sig] in proj2_sig (unpack_sig f). - -Require Import Crypto.CompleteEdwardsCurve.ExtendedCoordinates. -Definition edwards_extended_add_coordinates td P Q := -Eval cbv iota beta delta [ - Extended.add_coordinates - add sub mul - ] in - (@ExtendedCoordinates.Extended.add_coordinates _ add sub mul td P Q). -Definition edwards_extended_carry_add_coordinates td P Q := -Eval cbv iota beta delta [ - Extended.add_coordinates - carry_add carry_sub mul - ] in - (@ExtendedCoordinates.Extended.add_coordinates _ carry_add carry_sub mul td P Q). -Print edwards_extended_add_coordinates. - -Local Existing Instance field25519. -Create HintDb edwards_extended_add_coordinates_correct discriminated. -Section noncarry. - Hint Rewrite - (Ring.homomorphism_mul(is_homomorphism:=homomorphism_F25519_decode)) - (Ring.homomorphism_add(H1 :=homomorphism_F25519_decode)) - (Ring.homomorphism_sub(H1 :=homomorphism_F25519_decode)) - : edwards_extended_add_coordinates_correct. - Lemma edwards_extended_add_coordinates_correct td P Q : - Tuple.map (n:=4) decode (edwards_extended_add_coordinates td P Q) - = (@ExtendedCoordinates.Extended.add_coordinates _ F.add F.sub F.mul (decode td) (Tuple.map (n:=4) decode P) (Tuple.map (n:=4) decode Q)). - Proof. - change (edwards_extended_add_coordinates td P Q) - with (@ExtendedCoordinates.Extended.add_coordinates _ add sub mul td P Q). - destruct_head' prod. - simpl. - rewrite_strat topdown hints edwards_extended_add_coordinates_correct. - reflexivity. - Qed. -End noncarry. -Section carry. - Local Existing Instance carry_field25519. - Hint Rewrite - (Ring.homomorphism_mul(is_homomorphism:=homomorphism_carry_F25519_decode)) - (Ring.homomorphism_add(H1 :=homomorphism_carry_F25519_decode)) - (Ring.homomorphism_sub(H1 :=homomorphism_carry_F25519_decode)) - : edwards_extended_add_coordinates_correct. - Lemma edwards_extended_carry_add_coordinates_correct td P Q : - Tuple.map (n:=4) decode (edwards_extended_carry_add_coordinates td P Q) - = (@ExtendedCoordinates.Extended.add_coordinates _ F.add F.sub F.mul (decode td) (Tuple.map (n:=4) decode P) (Tuple.map (n:=4) decode Q)). - Proof. - change (edwards_extended_carry_add_coordinates td P Q) - with (@ExtendedCoordinates.Extended.add_coordinates _ carry_add carry_sub mul td P Q). - destruct_head' prod. - simpl. - rewrite_strat topdown hints edwards_extended_add_coordinates_correct. - reflexivity. - Qed. -End carry. - -Lemma fieldwise_eq_edwards_extended_add_coordinates_carry_nocarry td P Q : - Tuple.fieldwise - (n:=4) eq - (edwards_extended_carry_add_coordinates td P Q) - (edwards_extended_add_coordinates td P Q). -Proof. - pose proof (edwards_extended_carry_add_coordinates_correct td P Q) as H0. - pose proof (edwards_extended_add_coordinates_correct td P Q) as H1. - rewrite <- H0 in H1; clear H0. - assert (fieldwise - (fun x y => x = y) - (Tuple.map (n:=4) decode (edwards_extended_carry_add_coordinates td P Q)) - (Tuple.map (n:=4) decode (edwards_extended_add_coordinates td P Q))) - by (rewrite H1; reflexivity). - clear H1. - destruct (edwards_extended_carry_add_coordinates td P Q), (edwards_extended_add_coordinates td P Q). - destruct_head' prod; simpl; unfold eq; trivial. -Qed. |