ark-curves-cherry-picked/ed_on_mnt4_753/src/curves/mod.rs

use ark_ec::{
    models::CurveConfig,
    twisted_edwards::{Affine, MontCurveConfig, Projective, TECurveConfig},
};
use ark_ff::MontFp;

use crate::{fq::Fq, fr::Fr};

#[cfg(test)]
mod tests;

pub type EdwardsAffine = Affine<EdwardsConfig>;
pub type EdwardsProjective = Projective<EdwardsConfig>;

#[derive(Clone, Default, PartialEq, Eq)]
pub struct EdwardsConfig;

impl CurveConfig for EdwardsConfig {
    type BaseField = Fq;
    type ScalarField = Fr;

    /// COFACTOR = 8
    const COFACTOR: &'static [u64] = &[8];

    /// COFACTOR_INV (mod r) =
    /// 4582647449616135528381398492791944685893671397494963179726320631987147963874964803303316505414568319530101512550297775574042810022553679071007001162683923594233560231270043634777390699589793776691858866199511300853468155295505
    const COFACTOR_INV: Fr = MontFp!("4582647449616135528381398492791944685893671397494963179726320631987147963874964803303316505414568319530101512550297775574042810022553679071007001162683923594233560231270043634777390699589793776691858866199511300853468155295505");
}

impl TECurveConfig for EdwardsConfig {
    /// COEFF_A = -1
    const COEFF_A: Fq = MontFp!("-1");

    /// COEFF_D = 317690
    const COEFF_D: Fq = MontFp!("317690");

    /// Generated randomly
    const GENERATOR: EdwardsAffine = EdwardsAffine::new_unchecked(GENERATOR_X, GENERATOR_Y);

    type MontCurveConfig = EdwardsConfig;

    /// Multiplication by `a` is just negation.
    #[inline(always)]
    fn mul_by_a(elem: Self::BaseField) -> Self::BaseField {
        -elem
    }
}

impl MontCurveConfig for EdwardsConfig {
    /// COEFF_A = 40212480635445336270302172549278415015971955924352275480357619589919378421241453024646804979794897776496091377551124233752850182852486874251193367187677349266115879541798515219680194853352256809837126277708211496794264654247419
    const COEFF_A: Fq = MontFp!("40212480635445336270302172549278415015971955924352275480357619589919378421241453024646804979794897776496091377551124233752850182852486874251193367187677349266115879541798515219680194853352256809837126277708211496794264654247419");

    /// COEFF_B = 1686010332473617132042042241962222112198753995601673591425883331105974391329653748412088783995441144921979594337334243570322874639106980818502874667119046899605536783551549221790223284494141659774809441351696667426519821912580
    const COEFF_B: Fq = MontFp!("1686010332473617132042042241962222112198753995601673591425883331105974391329653748412088783995441144921979594337334243570322874639106980818502874667119046899605536783551549221790223284494141659774809441351696667426519821912580");

    type TECurveConfig = EdwardsConfig;
}

/// GENERATOR_X =
/// 41126137307536311801428235632419266329480236393691483739251051053325519918069469184425962602019877935619960143044210127218431046103600632347238890180171944971817510488009355627861577881883236134824745174469522277738875418206826
pub const GENERATOR_X: Fq =
    MontFp!("41126137307536311801428235632419266329480236393691483739251051053325519918069469184425962602019877935619960143044210127218431046103600632347238890180171944971817510488009355627861577881883236134824745174469522277738875418206826");

/// GENERATOR_Y =
/// 18249602579663240810999977712212098844157230095713722119136881953011435881503578209163288529034825612841855863913294174196656077002578342108932925693640046298989762289691399012056048139253937882385653600831389370198228562812681
pub const GENERATOR_Y: Fq =
    MontFp!("18249602579663240810999977712212098844157230095713722119136881953011435881503578209163288529034825612841855863913294174196656077002578342108932925693640046298989762289691399012056048139253937882385653600831389370198228562812681");