1use ark_ec::{
 2    models::{ModelParameters, MontgomeryModelParameters, TEModelParameters},
 3    twisted_edwards_extended::{GroupAffine, GroupProjective},
 4};
 5use ark_ff::field_new;
 6
 7use crate::{fq::Fq, fr::Fr};
 8
 9#[cfg(test)]
10mod tests;
11
12pub type EdwardsAffine = GroupAffine<EdwardsParameters>;
13pub type EdwardsProjective = GroupProjective<EdwardsParameters>;
14
15#[derive(Clone, Default, PartialEq, Eq)]
16pub struct EdwardsParameters;
17
18impl ModelParameters for EdwardsParameters {
19    type BaseField = Fq;
20    type ScalarField = Fr;
21
22    /// COFACTOR = 8
23    const COFACTOR: &'static [u64] = &[8];
24
25    /// COFACTOR_INV (mod r) =
26    /// 4582647449616135528381398492791944685893671397494963179726320631987147963874964803303316505414568319530101512550297775574042810022553679071007001162683923594233560231270043634777390699589793776691858866199511300853468155295505
27    #[rustfmt::skip]
28    const COFACTOR_INV: Fr = field_new!(Fr, "4582647449616135528381398492791944685893671397494963179726320631987147963874964803303316505414568319530101512550297775574042810022553679071007001162683923594233560231270043634777390699589793776691858866199511300853468155295505");
29}
30
31impl TEModelParameters for EdwardsParameters {
32    /// COEFF_A = -1
33    #[rustfmt::skip]
34    const COEFF_A: Fq = field_new!(Fq, "-1");
35
36    /// COEFF_D = 317690
37    #[rustfmt::skip]
38    const COEFF_D: Fq = field_new!(Fq, "317690");
39
40    /// Generated randomly
41    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = (GENERATOR_X, GENERATOR_Y);
42
43    type MontgomeryModelParameters = EdwardsParameters;
44
45    /// Multiplication by `a` is just negation.
46    #[inline(always)]
47    fn mul_by_a(elem: &Self::BaseField) -> Self::BaseField {
48        -*elem
49    }
50}
51
52impl MontgomeryModelParameters for EdwardsParameters {
53    /// COEFF_A = 40212480635445336270302172549278415015971955924352275480357619589919378421241453024646804979794897776496091377551124233752850182852486874251193367187677349266115879541798515219680194853352256809837126277708211496794264654247419
54    #[rustfmt::skip]
55    const COEFF_A: Fq = field_new!(Fq, "40212480635445336270302172549278415015971955924352275480357619589919378421241453024646804979794897776496091377551124233752850182852486874251193367187677349266115879541798515219680194853352256809837126277708211496794264654247419");
56
57    /// COEFF_B = 1686010332473617132042042241962222112198753995601673591425883331105974391329653748412088783995441144921979594337334243570322874639106980818502874667119046899605536783551549221790223284494141659774809441351696667426519821912580
58    #[rustfmt::skip]
59    const COEFF_B: Fq = field_new!(Fq, "1686010332473617132042042241962222112198753995601673591425883331105974391329653748412088783995441144921979594337334243570322874639106980818502874667119046899605536783551549221790223284494141659774809441351696667426519821912580");
60
61    type TEModelParameters = EdwardsParameters;
62}
63
64/// GENERATOR_X =
65/// 41126137307536311801428235632419266329480236393691483739251051053325519918069469184425962602019877935619960143044210127218431046103600632347238890180171944971817510488009355627861577881883236134824745174469522277738875418206826
66#[rustfmt::skip]
67const GENERATOR_X: Fq = field_new!(Fq, "41126137307536311801428235632419266329480236393691483739251051053325519918069469184425962602019877935619960143044210127218431046103600632347238890180171944971817510488009355627861577881883236134824745174469522277738875418206826");
68
69/// GENERATOR_Y =
70/// 18249602579663240810999977712212098844157230095713722119136881953011435881503578209163288529034825612841855863913294174196656077002578342108932925693640046298989762289691399012056048139253937882385653600831389370198228562812681
71#[rustfmt::skip]
72const GENERATOR_Y: Fq = field_new!(Fq, "18249602579663240810999977712212098844157230095713722119136881953011435881503578209163288529034825612841855863913294174196656077002578342108932925693640046298989762289691399012056048139253937882385653600831389370198228562812681");