Initial commit

ed_on_cp6_782/src/curves/mod.rs

@@ -0,0 +1,121 @@
+use ark_ec::{
+    models::{ModelParameters, MontgomeryModelParameters, TEModelParameters},
+    twisted_edwards_extended::{GroupAffine, GroupProjective},
+};
+use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new};
+
+use crate::{fq::Fq, fr::Fr};
+
+#[cfg(test)]
+mod tests;
+
+pub type EdwardsAffine = GroupAffine<EdwardsParameters>;
+pub type EdwardsProjective = GroupProjective<EdwardsParameters>;
+
+#[derive(Clone, Default, PartialEq, Eq)]
+pub struct EdwardsParameters;
+
+impl ModelParameters for EdwardsParameters {
+    type BaseField = Fq;
+    type ScalarField = Fr;
+}
+
+impl TEModelParameters for EdwardsParameters {
+    /// COEFF_A = -1 =
+    /// 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458176
+    #[rustfmt::skip]
+    const COEFF_A: Fq = field_new!(Fq, BigInteger([
+        9384023879812382873,
+        14252412606051516495,
+        9184438906438551565,
+        11444845376683159689,
+        8738795276227363922,
+        81297770384137296,
+    ]));
+
+    /// COEFF_D = 79743
+    #[rustfmt::skip]
+    const COEFF_D: Fq = field_new!(Fq, BigInteger([
+        0x4669ffffff46a638,
+        0xa56bbe0a7f9fae05,
+        0x403b425466a710b4,
+        0xf6648db6ea4e988b,
+        0x74d51b5923d35a8d,
+        0xf8ed90b17fe903,
+    ]));
+
+    /// COFACTOR = 8
+    const COFACTOR: &'static [u64] = &[8];
+
+    /// COFACTOR^(-1) mod r =
+    /// 12124894969357926281749346891948134384518445910386624712788431705725441736421489799867521238554906438478484045560
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger([
+        7353538464571651976,
+        2030910049503177537,
+        16726103313845754033,
+        1110650741117127777,
+        5304838729792721053,
+        4975067790294675,
+    ]));
+
+    /// AFFINE_GENERATOR_COEFFS = (GENERATOR_X, GENERATOR_Y)
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = (GENERATOR_X, GENERATOR_Y);
+
+    type MontgomeryModelParameters = EdwardsParameters;
+
+    /// Multiplication by `a` is just negation.
+    #[inline(always)]
+    fn mul_by_a(elem: &Self::BaseField) -> Self::BaseField {
+        -*elem
+    }
+}
+
+impl MontgomeryModelParameters for EdwardsParameters {
+    /// COEFF_A = 0x95D53EB3F6AC3F7A53C26020144439DC6073BCAE513E03FD06B6B3BAA390F25E51534B26719E33F4CD906D4DA9B535
+    #[rustfmt::skip]
+    const COEFF_A: Fq = field_new!(Fq, BigInteger([
+        7594254284108454966u64,
+        14287343397973578077u64,
+        6490358977072726023u64,
+        8023375322051995268u64,
+        8242802613686040715u64,
+        100541941146122331u64,
+    ]));
+    /// COEFF_B = 0x118650763CE64AB4BE743604C8D05013DC2663652A3D58B21ECAB7BFF65B70DB8BA09F9098E61CC903B2F92B2564ACA
+    #[rustfmt::skip]
+    const COEFF_B: Fq = field_new!(Fq, BigInteger([
+        11173793475516310780u64,
+        14217481814129454913u64,
+        11878518835804377107u64,
+        14866315431314324110u64,
+        9234787938768687129u64,
+        62053599622152261u64,
+    ]));
+
+    type TEModelParameters = EdwardsParameters;
+}
+
+/// GENERATOR_X =
+/// 174701772324485506941690903512423551998294352968833659960042362742684869862495746426366187462669992073196420267127
+#[rustfmt::skip]
+const GENERATOR_X: Fq = field_new!(Fq, BigInteger([
+    3737364149926089590,
+    13002967008679663837,
+    9954144214462864555,
+    3365719140389487049,
+    8643066672427471196,
+    120355578793479865,
+]));
+
+/// GENERATOR_Y =
+/// 208487200052258845495340374451540775445408439654930191324011635560142523886549663106522691296420655144190624954833
+#[rustfmt::skip]
+const GENERATOR_Y: Fq = field_new!(Fq, BigInteger([
+    6027299446526298157,
+    12854429557810467099,
+    11207279014226687864,
+    17040621363687352702,
+    6112671509202865855,
+    44040319652922447,
+]));