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|
Require Import Crypto.Specific.Framework.RawCurveParameters.
Require Import Crypto.Util.LetIn.
(***
Modulus : 2^255 - 19
Base: 25.5
***)
Definition curve : CurveParameters :=
{|
sz := 10%nat;
base := 25 + 1/2;
bitwidth := 32;
s := 2^255;
c := [(1, 19)];
carry_chains := Some [seq 0 (pred 10); [0; 1]]%nat;
a24 := None;
coef_div_modulus := Some 2%nat;
goldilocks := None;
karatsuba := None;
montgomery := false;
freeze := Some true;
ladderstep := false;
mul_code := Some (fun a b =>
(* Micro-optimized form from curve25519-donna by Adam Langley (Google) and Daniel Bernstein. See <https://github.com/agl/curve25519-donna/blob/master/LICENSE.md>. *)
let '(in9, in8, in7, in6, in5, in4, in3, in2, in1, in0) := a in
let '(in29, in28, in27, in26, in25, in24, in23, in22, in21, in20) := b in
dlet output0 := in20 * in0 in
dlet output1 := in20 * in1 +
in21 * in0 in
dlet output2 := 2 * in21 * in1 +
in20 * in2 +
in22 * in0 in
dlet output3 := in21 * in2 +
in22 * in1 +
in20 * in3 +
in23 * in0 in
dlet output4 := in22 * in2 +
2 * (in21 * in3 +
in23 * in1) +
in20 * in4 +
in24 * in0 in
dlet output5 := in22 * in3 +
in23 * in2 +
in21 * in4 +
in24 * in1 +
in20 * in5 +
in25 * in0 in
dlet output6 := 2 * (in23 * in3 +
in21 * in5 +
in25 * in1) +
in22 * in4 +
in24 * in2 +
in20 * in6 +
in26 * in0 in
dlet output7 := in23 * in4 +
in24 * in3 +
in22 * in5 +
in25 * in2 +
in21 * in6 +
in26 * in1 +
in20 * in7 +
in27 * in0 in
dlet output8 := in24 * in4 +
2 * (in23 * in5 +
in25 * in3 +
in21 * in7 +
in27 * in1) +
in22 * in6 +
in26 * in2 +
in20 * in8 +
in28 * in0 in
dlet output9 := in24 * in5 +
in25 * in4 +
in23 * in6 +
in26 * in3 +
in22 * in7 +
in27 * in2 +
in21 * in8 +
in28 * in1 +
in20 * in9 +
in29 * in0 in
dlet output10 := 2 * (in25 * in5 +
in23 * in7 +
in27 * in3 +
in21 * in9 +
in29 * in1) +
in24 * in6 +
in26 * in4 +
in22 * in8 +
in28 * in2 in
dlet output11 := in25 * in6 +
in26 * in5 +
in24 * in7 +
in27 * in4 +
in23 * in8 +
in28 * in3 +
in22 * in9 +
in29 * in2 in
dlet output12 := in26 * in6 +
2 * (in25 * in7 +
in27 * in5 +
in23 * in9 +
in29 * in3) +
in24 * in8 +
in28 * in4 in
dlet output13 := in26 * in7 +
in27 * in6 +
in25 * in8 +
in28 * in5 +
in24 * in9 +
in29 * in4 in
dlet output14 := 2 * (in27 * in7 +
in25 * in9 +
in29 * in5) +
in26 * in8 +
in28 * in6 in
dlet output15 := in27 * in8 +
in28 * in7 +
in26 * in9 +
in29 * in6 in
dlet output16 := in28 * in8 +
2 * (in27 * in9 +
in29 * in7) in
dlet output17 := in28 * in9 +
in29 * in8 in
dlet output18 := 2 * in29 * in9 in
dlet output8 := output8 + output18 << 4 in
dlet output8 := output8 + output18 << 1 in
dlet output8 := output8 + output18 in
dlet output7 := output7 + output17 << 4 in
dlet output7 := output7 + output17 << 1 in
dlet output7 := output7 + output17 in
dlet output6 := output6 + output16 << 4 in
dlet output6 := output6 + output16 << 1 in
dlet output6 := output6 + output16 in
dlet output5 := output5 + output15 << 4 in
dlet output5 := output5 + output15 << 1 in
dlet output5 := output5 + output15 in
dlet output4 := output4 + output14 << 4 in
dlet output4 := output4 + output14 << 1 in
dlet output4 := output4 + output14 in
dlet output3 := output3 + output13 << 4 in
dlet output3 := output3 + output13 << 1 in
dlet output3 := output3 + output13 in
dlet output2 := output2 + output12 << 4 in
dlet output2 := output2 + output12 << 1 in
dlet output2 := output2 + output12 in
dlet output1 := output1 + output11 << 4 in
dlet output1 := output1 + output11 << 1 in
dlet output1 := output1 + output11 in
dlet output0 := output0 + output10 << 4 in
dlet output0 := output0 + output10 << 1 in
dlet output0 := output0 + output10 in
(output9, output8, output7, output6, output5, output4, output3, output2, output1, output0)
);
square_code := Some (fun a =>
(* Micro-optimized form from curve25519-donna by Adam Langley (Google) and Daniel Bernstein. See <https://github.com/agl/curve25519-donna/blob/master/LICENSE.md>. *)
let '(in9, in8, in7, in6, in5, in4, in3, in2, in1, in0) := a in
dlet output0 := in0 * in0 in
dlet output1 := 2 * in0 * in1 in
dlet output2 := 2 * (in1 * in1 +
in0 * in2) in
dlet output3 := 2 * (in1 * in2 +
in0 * in3) in
dlet output4 := in2 * in2 +
4 * in1 * in3 +
2 * in0 * in4 in
dlet output5 := 2 * (in2 * in3 +
in1 * in4 +
in0 * in5) in
dlet output6 := 2 * (in3 * in3 +
in2 * in4 +
in0 * in6 +
2 * in1 * in5) in
dlet output7 := 2 * (in3 * in4 +
in2 * in5 +
in1 * in6 +
in0 * in7) in
dlet output8 := in4 * in4 +
2 * (in2 * in6 +
in0 * in8 +
2 * (in1 * in7 +
in3 * in5)) in
dlet output9 := 2 * (in4 * in5 +
in3 * in6 +
in2 * in7 +
in1 * in8 +
in0 * in9) in
dlet output10 := 2 * (in5 * in5 +
in4 * in6 +
in2 * in8 +
2 * (in3 * in7 +
in1 * in9)) in
dlet output11 := 2 * (in5 * in6 +
in4 * in7 +
in3 * in8 +
in2 * in9) in
dlet output12 := in6 * in6 +
2 * (in4 * in8 +
2 * (in5 * in7 +
in3 * in9)) in
dlet output13 := 2 * (in6 * in7 +
in5 * in8 +
in4 * in9) in
dlet output14 := 2 * (in7 * in7 +
in6 * in8 +
2 * in5 * in9) in
dlet output15 := 2 * (in7 * in8 +
in6 * in9) in
dlet output16 := in8 * in8 +
4 * in7 * in9 in
dlet output17 := 2 * in8 * in9 in
dlet output18 := 2 * in9 * in9 in
dlet output8 := output8 + output18 << 4 in
dlet output8 := output8 + output18 << 1 in
dlet output8 := output8 + output18 in
dlet output7 := output7 + output17 << 4 in
dlet output7 := output7 + output17 << 1 in
dlet output7 := output7 + output17 in
dlet output6 := output6 + output16 << 4 in
dlet output6 := output6 + output16 << 1 in
dlet output6 := output6 + output16 in
dlet output5 := output5 + output15 << 4 in
dlet output5 := output5 + output15 << 1 in
dlet output5 := output5 + output15 in
dlet output4 := output4 + output14 << 4 in
dlet output4 := output4 + output14 << 1 in
dlet output4 := output4 + output14 in
dlet output3 := output3 + output13 << 4 in
dlet output3 := output3 + output13 << 1 in
dlet output3 := output3 + output13 in
dlet output2 := output2 + output12 << 4 in
dlet output2 := output2 + output12 << 1 in
dlet output2 := output2 + output12 in
dlet output1 := output1 + output11 << 4 in
dlet output1 := output1 + output11 << 1 in
dlet output1 := output1 + output11 in
dlet output0 := output0 + output10 << 4 in
dlet output0 := output0 + output10 << 1 in
dlet output0 := output0 + output10 in
(output9, output8, output7, output6, output5, output4, output3, output2, output1, output0)
);
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.
|
