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|
Require Import Crypto.Specific.Framework.RawCurveParameters.
Require Import Crypto.Util.LetIn.
(***
Modulus : 2^255-19
Base: 51
***)
Definition curve : CurveParameters :=
{|
sz := 5%nat;
base := 51;
bitwidth := 64;
s := 2^255;
c := [(1, 19)];
carry_chains := Some [seq 0 (pred 5); [0; 1]]%nat;
a24 := Some 121665;
coef_div_modulus := Some 2%nat;
goldilocks := None;
karatsuba := None;
montgomery := false;
freeze := Some true;
ladderstep := true;
mul_code := Some (fun a b =>
(* Micro-optimized form from curve25519-donna-c64 by Adam Langley (Google) and Daniel Bernstein. See <https://github.com/agl/curve25519-donna/blob/master/LICENSE.md>. *)
let '(r4, r3, r2, r1, r0) := a in
let '(s4, s3, s2, s1, s0) := b in
dlet t0 := r0 * s0 in
dlet t1 := r0 * s1 + r1 * s0 in
dlet t2 := r0 * s2 + r2 * s0 + r1 * s1 in
dlet t3 := r0 * s3 + r3 * s0 + r1 * s2 + r2 * s1 in
dlet t4 := r0 * s4 + r4 * s0 + r3 * s1 + r1 * s3 + r2 * s2 in
dlet r4 := r4 * 19 in
dlet r1 := r1 * 19 in
dlet r2 := r2 * 19 in
dlet r3 := r3 * 19 in
dlet t0 := t0 + r4 * s1 + r1 * s4 + r2 * s3 + r3 * s2 in
dlet t1 := t1 + r4 * s2 + r2 * s4 + r3 * s3 in
dlet t2 := t2 + r4 * s3 + r3 * s4 in
dlet t3 := t3 + r4 * s4 in
(t4, t3, t2, t1, t0)
);
square_code := Some (fun a =>
(* Micro-optimized form from curve25519-donna-c64 by Adam Langley (Google) and Daniel Bernstein. See <https://github.com/agl/curve25519-donna/blob/master/LICENSE.md>. *)
let '(r4, r3, r2, r1, r0) := a in
dlet d0 := r0 * 2 in
dlet d1 := r1 * 2 in
dlet d2 := r2 * 2 * 19 in
dlet d419 := r4 * 19 in
dlet d4 := d419 * 2 in
dlet t0 := r0 * r0 + d4 * r1 + (d2 * (r3 )) in
dlet t1 := d0 * r1 + d4 * r2 + (r3 * (r3 * 19)) in
dlet t2 := d0 * r2 + r1 * r1 + (d4 * (r3 )) in
dlet t3 := d0 * r3 + d1 * r2 + (r4 * (d419 )) in
dlet t4 := d0 * r4 + d1 * r3 + (r2 * (r2 )) in
(t4, t3, t2, t1, t0)
);
upper_bound_of_exponent_loose := None;
upper_bound_of_exponent_tight := None;
allowable_bit_widths := None;
freeze_extra_allowable_bit_widths := None;
modinv_fuel := None
|}.
Ltac extra_prove_mul_eq _ := idtac.
Ltac extra_prove_square_eq _ := idtac.
|
