Initial commit

bw6_761/src/curves/g1.rs

@@ -0,0 +1,113 @@
+use crate::{Fq, Fr};
+use ark_ec::{
+    models::{ModelParameters, SWModelParameters},
+    short_weierstrass_jacobian::{GroupAffine, GroupProjective},
+};
+use ark_ff::{
+    biginteger::{BigInteger384, BigInteger768},
+    field_new,
+};
+
+pub type G1Affine = GroupAffine<Parameters>;
+pub type G1Projective = GroupProjective<Parameters>;
+
+#[derive(Clone, Default, PartialEq, Eq)]
+pub struct Parameters;
+
+impl ModelParameters for Parameters {
+    type BaseField = Fq;
+    type ScalarField = Fr;
+}
+
+impl SWModelParameters for Parameters {
+    /// COEFF_A = 0
+    #[rustfmt::skip]
+
+    const COEFF_A: Fq = field_new!(Fq, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]));
+
+    /// COEFF_B = -1
+    #[rustfmt::skip]
+    const COEFF_B: Fq = field_new!(Fq, BigInteger768([
+        0xf29a000000007ab6,
+        0x8c391832e000739b,
+        0x77738a6b6870f959,
+        0xbe36179047832b03,
+        0x84f3089e56574722,
+        0xc5a3614ac0b1d984,
+        0x5c81153f4906e9fe,
+        0x4d28be3a9f55c815,
+        0xd72c1d6f77d5f5c5,
+        0x73a18e069ac04458,
+        0xf9dfaa846595555f,
+        0xd0f0a60a5be58c,
+    ]));
+
+    /// COFACTOR =
+    /// 26642435879335816683987677701488073867751118270052650655942102502312977592501693353047140953112195348280268661194876
+    #[rustfmt::skip]
+    const COFACTOR: &'static [u64] = &[
+        0x3de580000000007c,
+        0x832ba4061000003b,
+        0xc61c554757551c0c,
+        0xc856a0853c9db94c,
+        0x2c77d5ac34cb12ef,
+        0xad1972339049ce76,
+    ];
+
+    /// COFACTOR^(-1) mod r =
+    /// 91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger384([
+        489703175600125849,
+        3883341943836920852,
+        1678256062427438196,
+        5848789333018172718,
+        7127967896440782320,
+        71512347676739162,
+    ]));
+
+    /// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (G1_GENERATOR_X, G1_GENERATOR_Y);
+    #[inline(always)]
+    fn mul_by_a(_elem: &Self::BaseField) -> Self::BaseField {
+        use ark_ff::Zero;
+        Self::BaseField::zero()
+    }
+}
+
+/// G1_GENERATOR_X =
+/// 6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237
+#[rustfmt::skip]
+pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger768([
+    0xd6e42d7614c2d770,
+    0x4bb886eddbc3fc21,
+    0x64648b044098b4d2,
+    0x1a585c895a422985,
+    0xf1a9ac17cf8685c9,
+    0x352785830727aea5,
+    0xddf8cb12306266fe,
+    0x6913b4bfbc9e949a,
+    0x3a4b78d67ba5f6ab,
+    0x0f481c06a8d02a04,
+    0x91d4e7365c43edac,
+    0xf4d17cd48beca5,
+]));
+
+/// G1_GENERATOR_Y =
+/// 2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099
+#[rustfmt::skip]
+pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger768([
+    0x97e805c4bd16411f,
+    0x870d844e1ee6dd08,
+    0x1eba7a37cb9eab4d,
+    0xd544c4df10b9889a,
+    0x8fe37f21a33897be,
+    0xe9bf99a43a0885d2,
+    0xd7ee0c9e273de139,
+    0xaa6a9ec7a38dd791,
+    0x8f95d3fcf765da8e,
+    0x42326e7db7357c99,
+    0xe217e407e218695f,
+    0x9d1eb23b7cf684,
+]));